According to the given data the domain of g[f(x)] is all real numbers.
√2 and -√2.
The correct option is 1.
What is domain?The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function. The collection of things that the machine will accept as inputs is known as the domain in the function machine paradigm.
According to the given information:We will respond to this question using two functions:
f(x) = x² and g(x)
= x²/ x-2
Because the domain of f(x) is the set among all real numbers,
Except for 2, the domain of g(x) is all real integers.
Now
g[f(x)]= g(x²)
= x²/ x-2
Except for real numbers, the domain of g[f(x)] is all real numbers.
√2 and -√2.
The following is the best definition of the domain of g[f(x)]:
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I understand that the question you are looking for is:
Which description best explains the domain of (g(f(x))?
the elements in the domain of f(x) for which g(f(x)) is definedthe elements in the domain of f(x) for which g(f(x)) is not zerothe elements in the domain of g(x) for which g(f(x)) is definedthe elements in the domain of g(x) for which g(f(x)) is not zeroWhat does x equal in this problem ?
Answer:54
Step-by-step explanation:
Which letter is at coordinate position (9, 5)?
OA. Y
OB. R
OC. F
OD. Q
The point R has an abscissa 9 and ordinate 5
nikola competed in an aquathon (swimming and running) competition. he swam at a rate of km/hr and ran at a rate of km/hr for a total distance traveled of km. if he completed the race in hours, how long did he take to complete each part of the race?
Nikola took 2 hours to finish the swimming part
Nikola took 4.5 hours to finish the running part
Define Algebra?A form of arithmetic in which the rules of arithmetic are used to combine letters that represent numbers.
Calculations:
Assume,
[tex]t=time\;in\;hrs\;to\;complete\;swimming\;part[/tex]
[tex]6.5-t=time\;in\;hrs\;to\;complete\;running\;part[/tex]
[tex]d=distance\;in\;km\;that\;he\;swam[/tex]
[tex]73.5-d=distance\;in\;km\;that\;he\;ran[/tex]
Equation of swimming part,
[tex]d=3t[/tex]
Equation of running part.
[tex]73.5-d=15\times(6.5-t)[/tex]
Substitute the value of d in running part equation,
[tex]73.5-3t=15\times(6.5-t)[/tex]
[tex]73.5-3t=97.5-15t[/tex]
[tex]12t=24[/tex]
Therefore,
[tex]t=2[/tex]
[tex]Time\;to\;complete\;summing\;part=t[/tex]
[tex]Time\;to\;complete\;summing\;part=2\;hours[/tex]
[tex]Time\;to\;complete\;summing\;part=6.5-t[/tex]
[tex]Time\;to\;complete\;summing\;part=6.5-2[/tex]
[tex]Time\;to\;complete\;summing\;part=4.5\;hours[/tex]
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Select the correct answer. A graph plots two points at (negative 5, negative 3) and (10, negative 8) on the x y coordinate plane. A diagonal curve connects both points. What is the range of the function shown on the graph above? A. B. C. D.
Based on the given parameters, the range of the function is -8 < y < -3
How to determine the range of the function?We have the following endpoints on the graph of the function;
(x, y) = (-5, -3)
(x, y) = (10, -8)
A diagonal curve connects both points
Remove the x values to determine the range
y = -3
y = -8
-8 is less than -3
So, the range can be represented as
-8 less than y less than -3
Express less than using the inequality <
So, we have
Range: -8 < y < -3
Hence, the range of the function is -8 < y < -3
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Answer: your answer should be -8 < y < -3
Step-by-step explanation:
Omar will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $60 and costs an additional $0.80 per mile driven. How many miles would Omar need to drive for the two plans to cost the same?
Answer:For the two plans to cost the same Omar would need to drive 275 miles
Step-by-step explanation:Please give brainliest if right.
Scott types at a rate of 10 words per minute. How many words does he type in 5 minutes?
Answer: 50 words per minute
Step-by-step explanation: if he types 10 words per minute and if you multiply that by 5 the answer is 50 words per minute
is c=3.75x proportional
Answer:
No
Step-by-step explanation:
If we put x=1 in equation y=x+3.75
y=(1)+3.75
y/x=4.75
If that is proportional then y/x will be the same in each scenario
and if we put x=2 then y=(2)+3.75
y=5.27
y/x=2.875
So, it is not equal, it means that equation is not proportional.
pls help me i am not smart 4x + 2y = 12
Answer: (0,-6), (1,-4)
Step-by-step explanation:
Subtract 4x from both sides of the equation.
−
-2y=12−4x
Divide each term in -2y=12-4x by-2 and simplify
-
y=-6+2x
Rewrite in slope-int form.
y=2x-6
Next, you want to use the slope-int form to find the slope and y-int so you get (0,-6) and (1,-4)
Solve the equation.
-8y-8=7y +22
Find the distance between the two points in simplest radical form. (0,-1) and (-5, -5)
The distance between the given two points is 7 units.
What do we mean by distance?Distance is a numerical or qualitative measurement of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage.Formula: [tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Put the values in the formula:
x₁ = 0 y₁ = -1x₂ = -5 y₂ = -5Then,
[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\sqrt{(-5-0)^{2}+(-5-(-1))^{2} } \\\sqrt{25+(25-1)} \\\sqrt{25+24} \\\sqrt{49} \\=7[/tex]
Therefore, the distance between the given two points is 7 units.
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The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y. Simplify completely.
x = -4, y = 6
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=-4\\ y=6 \end{cases} \\\\\\ 6=k(-4)\implies \cfrac{6}{-4}=k\implies -\cfrac{3}{2}=k~\hfill \boxed{y=-\cfrac{3}{2}x}[/tex]
Put the following equation of a line into slope-intercept form, simplifying all fractions.
20x+4y=8
the answer for the given question is slope is -5 and y- intercept is 2.
The slope intercept form of a straight line is one of the most common ways to represent a line's equation. When given the slope of a straight line and the y-intercept, the slope intercept formula can be used to find the equation of a line (the y-coordinate of the point where the line intersects the y-axis).
The slope-intercept form is y = mx + b , where m is the slope and b is the y-intercept.
y = mx + b
Take 20x off both sides of the equation.
4y = 8 − 20x
Simplify each term by dividing it by 4y = 8 - 20x.
y = 2 − 5x
Reorder 2 and -5x.
y =−5x + 2
Therefore after simplification we get the slope as -5
and the y-intercept as 2
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11=2y-11 what is y ?????
hurryy need help fast!!!!!!
Answer:
11=2y-11
11+11=2y
22=2y
y=22/2
y=11
Answer: I got you!
The answer is below!
11=2y-11
11+11=2y
22=2y
y=22/2
y=11
need help with homework
Answer:
a
Step-by-step explanation:
A clearly spelled-out statement on group participation presented to members before the group commences would be particularly important when?
It's crucial to start a topic off positively in a group discussion when you feel completely confident over your statements in order to create the correct momentum that will lead to a strong start and help you establish yourself as the group leader.
What are the qualities of a good leader?Confidence is by far the most crucial quality. A strong sense of self-assurance is essential for a leader. Self-conscious people are rarely effective leaders. A guy needs to have the self-assurance to tell people to follow him. The leader must have faith in his judgement and actions. An important trait in a leader is honesty. If someone wants to gain followers, they must exhibit honesty and integrity. A leader needs to be an excellent innovator. He must exercise creativity in his work. Most importantly, innovation ensures a group's or invention's continuous existence. Innovation is necessary for growth to occur.
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Reflection across y = x
When we reflect a point across the line y = x, the x- and y-coordinates swap positions.
What do we mean by Reflection across y = x?When we reflect a point across the line y = x, the x- and y-coordinates swap places. When we reflect over the line y = -x, the x- and y-coordinates swap places and become negated (the signs are changed). The line y = x defines the point (y, x).The line y = -x is the point (-y, -x).Remember that each point of a reflected image is the same distance from the line of reflection as the corresponding point of the original figure. The line of reflection will be directly in the middle of the original figure and its image.Therefore, when we reflect a point across the line y = x, the x- and y-coordinates swap positions.
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This one too pretty pleaseeeeee
Answer:
Please mark this answer as the brainliest, it would really mean a lot to me
Answer = 28 Degrees
Step-by-step explanation:
If the triangle has two sides that are the same, it is an isosceles triangle.
The rule for an isosceles triangle is "an isosceles triangle △ABC where AB = AC, we have ∠B = ∠C."
So in this case, it would be FE = FG, and ∠E = ∠G.
The sun is about 93×10 to the fifth power miles from earth what is the distance when I am a whole Number
Answer:
93 x 10 = 930^5 = 695688369300000
A MATCHBOX HOLDS 48 MATCHES.HOW MANY MATCHBOXES ARE NEED TO HOLD 1104 MATCHES?
Answer:
23
Step-by-step explanation:
1104/48 = 23 boxes
The graph of y = -x + 2 is negative
over the interval (4, ∞) and positive over the
interval (-∞, 4). What happens on the graph
when x = 4? Explain. MP.2
What happens when x = 4 is that the graph is equal to zero when x = 4.
How to Interpret Graph Intervals?
The information that we have is:
"The graph of y = -1/2x + 2 is is negative over the interval (4, ∞) and positive over the interval (-∞, 4)."
Now, if for values of x smaller than 4 the graph is negative and for values of x larger than 4 the graph is positive, this must be that the graph must crosses the x-axis at some point, then with only that information, we can conclude that the graph is equal to zero when x = 4.
But we could also test it with the equation:
y = -(1/2)*x + 2
if we replace the x with 4.
y = -(1/2)*4 + 2 = -2 + 2 = 0.
Then our previous hypothesis was correct.
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Please help asap. This is for algebra 1
Answer:
A. ≈65in
B. ≈68in
Step-by-step explanation:
Girls: 25 + 1.17h
Boys: 22.7 + 1.37h
A. 25 + 1.17(34) = 25 + 39.78 = 64.78in
B. 22.7 + 1.37(33) = 22.7 + 45.21 = 67.91in
Since it's asking for the nearest inch:
A. ≈65in
B. ≈68in
I hope this helps!
For a college chemistry experiment, students need to prepare a solution containing ethylene glycol. They are each given 20 fluid ounces of a solution containing 2% ethylene glycol, to which they will add another solution that contains 12% ethylene glycol. How much of the 12% solution should they add to obtain a 5% ethylene glycol solution?
Students should add 8.6 fluid ounces of 12% ethylene glycol.
Using the relation between concentration and volume of solution to find the required amount of 12% ethylene glycol to be used. Let the required amount of 12% ethylene glycol be x fluid ounces. Forming the relation as follows -
C₁ × V₁ + C₂ × V₂ = C₃ × V₃
C₁ and V₁ represents 2% ethylene glycol, C₂ and V₂ represents 12% ethylene glycol and C₃ and V₃ represents 5% ethylene glycol solution. As V₂ is x, so, V₃ will be (20 + x).
Keep the values in formula to find the value of x
2%×20 + 12%×x = 5%×(20 + x)
Solving the equation for the value of x
2/100×20 + 12/100×x = 5/100×20 + 5/100×x
0.4 + 0.12x = 1 + 0.05x
Rearrange the equation -
0.12x - 0.05x = 1 - 0.4
Performing subtraction on both sides -
0.07x = 0.6
Shifting 0.07 to Right Hand Side and performing division
x = 0.6 ÷ 0.07
x = 8.6 fluid ounces
Hence, 8.6 fluid ounces of the 12% ethylene glycol should be added.
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The product of an integer and a decimal number will never be an integer.
The statement that the product of an integer and a decimal number will never be an integer is false
How to determine the true statement?The statement is given as
The product of an integer and a decimal number will never be an integer.
The above statement is false.
Take for instance, we have
2 x 2.5
2 is an integer and 2.5 is a decimal number
The product is
2 x 2.5 = 5
5 is an integer
Hence, the statement that the product of an integer and a decimal number will never be an integer is false
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I don't know how to solve this.
The next three terms in the sequence are 116 , 159 and 209
We are supposed to find the next 3 terms in the sequence:
5, 6, 14, 29, 51, 80, ___, ___, ___.
Here we can are first supposed to find the pattern which is as follows:
[tex]6-5=1\\14-6=8\\29-14=15\\51-29=22\\80-51=29\\[/tex]
Therefore difference between the numbers is 7 more than the previous one i.e,
[tex]1+7=8\\8+7=15\\15+7=22\\22+7=29[/tex]
Let required three numbers be x, y and z
So [tex]x-80=29+7=36\\x=116[/tex]
[tex]y-116=36+7=43\\y = 159[/tex]
and [tex]z-159=43+7=50\\z=209[/tex]
Hence x = 116, y = 159 and z = 209
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solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) 5x2 10x 4
Answer:
400
Step-by-step explanation:
5x2x10x4=
Max has a small pickup trunk that carries 3/4 cord of firewood. find the number of trips max would have to make in order to deliver 12 cords of wood?
The number of trips max would have to make in order to deliver 12 cords of wood is 16 trips.
We will use unitary method to solve this problem.
Pick up truck carry ( 3/4 ) cord of firewood in trip = 1
Pick up truck will carry 1 cord of firewood in the trips = ( 1/(3/4) ) trips
= ( 4/3 ) trips
Truck will carry 12 cords of firewood in the trips = 12 × ( 4/3 )
= 16 trips.
Therefore, the number of trips max would have to make in order to deliver 12 cords of wood is 16 trips.
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which function is not continuous? a. your altitude as a function of time while flying from reno to dallas. c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls. b. time of travel from miami to pensacola as a function of driving speed. d. area of a circle as a function of radius. please select the best answer from the choices provided a b c d
The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
We know that a function that does not have discontinuities in the values that means any changes in value.
We have been given four statements.
a. your altitude as a function of time while flying from reno to Dallas.
c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
b. time of travel from Miami to Pensacola as a function of driving speed.
d. area of a circle as a function of radius.
We need to find a function which is not continuous.
The function which is not continuous is the statement C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
Because the number of these balls is discreet, not continuous (meaning that there cannot be 2.3 balls).
Therefore, The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
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Which of the following values are solutions to the inequality 3 − 4 x ≥ − 3 ? 3−4x≥−3?
The values in the solution set of the inequality are values that do not exceed 0
How to determine the values that are solutions to the inequality?The inequality expression is given as
3 − 4 x ≥ − 3
Rewrite the expression properly.
So, we have
3 − 4x ≥ −3
Add 3 to both sides of the inequality.
So, we have
3 + 3 − 4x ≥ −3 + 3
Evaluate the like terms
So, we have
− 4x ≥ 0
Divide both sides by -4
x ≤ 0
The above means that the values in the solution set of the inequality are values that do not exceed 0
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Triangle ABC lies on the coordinate plane with the vertices A(7,6), B(-3,5) and C(-6,1).
The triangle is transformed using the rule (x, y) --> (x+4, 3y) to create triangle A'B'C'.
What are the coordinates of B'?
The transformation, the coordinates of point B' become (1, 15).
The transformation rule (x, y) → (x + 4, 3y) involves shifting the x-coordinate by 4 units to the right and stretching the y-coordinate by a factor of 3. To find the coordinates of B' after applying this rule, we take the coordinates of point B(-3, 5):
x-coordinate of B' = x-coordinate of B + 4 = -3 + 4 = 1.
y-coordinate of B' = y-coordinate of B * 3 = 5 * 3 = 15.
Therefore, after the transformation, the coordinates of point B' become (1, 15). This means that B' is located 4 units to the right of B along the x-axis and its y-coordinate is three times that of B. The transformation has shifted and stretched the original triangle, resulting in a new position for point B'.
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what is the product?
(3a²b^4)(-8ab³)
Answer:
-24a^3b^7
Step-by-step explanation:
Answer:
[tex]-24a^3b^7[/tex]
Step-by-step explanation:
Hello!
We can simplify by multiplying and expanding the expression. Then, multiply with the same variables.
Simplify[tex](3a^2b^4)(-8ab^3)[/tex][tex](3)(a^2)(b^4)(-8)(a)(b^3)[/tex][tex](3)(-8)(a^2)(a)(b^4)(b^3)[/tex][tex]-24a^3b^7[/tex]The simplified expression is [tex]-24a^3b^7[/tex].