Mathematics High School

10 points!!

Find the inverse of f(x) = √x-1

10 Points!! Find The Inverse Of F(x) = X-1

Answers

Answer 1
f
−
1
(
x
)
=
x
2
+
1
f
-
1
(
x
)
=
x
2
+
1
Answer 2

Answer:

Step-by-step explanation:

For a function to have an inverse, it has to pass the horizontal and vertical line test, yes both of them. This function does, so we can continue. The first step for finding an inverse is replacing f(x) with y. Then switch the places of x and y.

[tex]x=\sqrt{y-1}[/tex]

Now the next step is to solve for this new y value, which is equivalent to f^-1(x). Square both sides to get rid of the radical.

[tex]x^2=y-1[/tex]

Add 1 to both sides and that is your inverse function

[tex]y=x^2+1[/tex]

Related Questions


Find the slope of the line that
passes through the following
points. (0,0), (-2,-4)

Answers

Answer:

m=2

Step-by-step explanation:

math is hard

Answer:

2

Step-by-step explanation:

The equation for finding slope is:

[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Plugging in our values of x and y gives us:

(-4 - 0)/(-2-0) =

-4/-2 =

4/2 =

2

Help! What is the angle measure of x in the trapezoid below?

A trapezoid with angle measures 74 degrees, 74 degrees, x, x.
16°
32°
106°
212°

Answers

Answer:

106 will be it because if you count the degrees

Write a compound inequality for the graph shown below.
Use x for your variable.

Answers

Answer:

[tex]2 < \times \leqslant 6[/tex]

g(x) = –2x – 4, fild g(6).

Answers

Answer:

-16

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Solve the inequality
x2-x-12 < 0
+

Answers

Step-by-step explanation:

x2-x-12<0

x2-x<12

x=12

the answer is x= 12

Thanks for helping if ya did

Answers

Answer:

A

Step-by-step explanation:

Answer:

785 m

Step-by-step explanation:

Brainliest, pleeeeaseee??? Thanks I love YOUUUUUU

The sum of 6.7 and a number is negative. What is a possible value for that number? Explain.​

Answers

Answer:

The number must be greater than 6.7. Thus, the sum will be negative.

For example, the number could be 7.

6.7 - 7 = -0.3

The number can be in the range -  x ∈ (- ∞ , - 6.7)

We have - the sum of 6.7 and a number is negative.

We have to determine the possible value of that number.

For what range of values of x, the given function is equals to a negative value -y = f(x) = 2x + 10

For f(x) to be negative -

f(x) < 0

2x + 10 < 0

2x < - 10

x < - 5

x ∈ (- ∞ , - 5)

According to the question, we have - the sum of 6.7 and a number is negative.

Now -

6.7 + x < 0

x < 6.7

x ∈ (- ∞ , - 6.7)

Hence, the number can be in the range -  x ∈ (- ∞ , - 6.7).

To solve more questions on Numbers and range, visit the link below -

https://brainly.com/question/18061928

#SPJ2

Helppp meee pleaseee

Answers

Answer:

I'm not sure sorry if I'm wrong but I think the answers would be 3,4,5


Which inequality is represented by this graph?

A. 0>x
B.x>0
C. 0>_x
D.x>_0

Answers

Answer:

B. X > 0

Step-by-step explanation:

The dot it at 0, but is not filled in, so that means that it is not equal to.

The arrow is pointing to terms greater than 0 which can be described as (X). Since X is greater than 0, and not equal to 0, we get B as our answer.

What is the solution for x in the equation?
-x + 3/7 =2x -25/7

Answers

Answer:

x = 4/3 is your answer

Step-by-step explanation:

Hope this helps!!

What is the area of this quadrilateral?
3 ft
4 ft
3 ft:
O A. 16 square feet
B. 26 square feet
C. 24 square feet
O D. 12 square feet

Answers

C. 24 square feet
yes
The answer is D
4*3=12
12/2=6

Evaluate each expression

P + 8 when P = 6
show ya work

Answers

Answer:umm so with my super jimmy neutron powers the answer is 14 because since P = 6 the equation turns into 6 + 8=14

how would the numbers 6870000 appear in scientific notation on a calculator screen ​

Answers

Answer: D

Step-by-step explanation:

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?

Answers

Solution B is the one she should use

55 videos to 77 videos

Answers

Answer:

The ratio is 55:77

Step-by-step explanation:

Which expression is the same as 1/8 of 3?

1. 3×8

2. 8÷3

3. 3÷8

4. 1/3×1/8

Answers

Answer:

The correct answer should be 3÷8

Answer:

3÷8

Step-by-step explanation:

Carson wants to install wallpaper on the wall in his bedroom with the shape and dimensions shown below. 14 ft 11 ft 12 ft - To determine the area of the wall, he divides it into a triangle and a rectangle. What are the dimensions of the triangle?​

Answers

Answer:

B

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

I did the test.

Solve each system of equations using the substitution method

Give the solution in (x,y) form​

Answers

Step-by-step explanation:

y=-3+5x

substitute y into equation 2

3x-8y=24

3x-8(-3+5x)=24

3x+24-40x=24

x=0

y=-3+5(0)

y=-3

(x,y)=(0,3)

what is 9/32 + 7/8 plz help

Answers

Answer:

1 5/32

Step-by-step explanation:

First, find common denominators. What you do to the denominator, you must do to the numerator.

First, multiply 4 to both the numerator and denominator of the second fraction:

(7/8)(4/4) = (7 * 4)/(8 * 4) = 28/32

Next, add across:

9/32 + 28/32 = 37/32

Simplify. Turn the improper fraction into a mixed fraction:

37/32 = (32 + 5)/32 = 1 5/32

1 5/32 is your answer.

~

Answer:

37 /32

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 32 is 32

For the 1st fraction, since 8 × 4 = 32,

7 /8  =  7 × 4

       8 × 4 =  28 /32

Likewise, for the 2nd fraction, since 32 × 1 = 32,

9 /32  =  9 × 1

          32 × 1 =  9 /32

Add the two fractions:

28 /32 +  9/32 =  28 + 9 /32  =  37 /32

So, 7/8 + 9/32 = 37/32

In mixed form: 1 5 /32

Please mark as brainliest!

Evaluate the following expressions given x=6 and y=-3

Answers

a.

[tex] \purple{5 \times 6 - 4 \times ( - 3)}[/tex]

[tex] = 30 + 12[/tex]

[tex] \blue{ = \boxed{42}}[/tex]

b.

[tex] \purple{ {6}^{2} + \frac{6}{ - 3} }[/tex]

[tex] = 36 - 2[/tex]

[tex] \blue{ = \boxed{34}}[/tex]

c.

[tex] \purple{(6 - 5 {)}^{3} + {( - 3)}^{2} }[/tex]

[tex] = {1}^{3} + 9[/tex]

[tex] = 1 + 9[/tex]

[tex] \blue{ = \boxed{10}}[/tex]

=============================

Hope it helps

=============================

What is the coefficient of 3y+7?

Answers

Answer:

3

Step-by-step explanation:

it's 3 because the number is infront of a variable

Billy charges $15 to mow yard.He needs at least $200 for the new bycicle that he wants.

Answers

Answer:

billy has to mow at least 14 yards

Step-by-step explanation:

200 divided by 15 = about 14

Cook´s bakery is making 15 cakes . Each contains 2 cups of flour . How many cups of flour {f} are needed to make all the cakes

Answers

Answer:

A

Step-by-step explanation:

i got from USATestprep

Solve the following system of equations graphically on the set of axes below.
Graph those please and find the solution

Answers

Answer:

The solution is (4, 0)

Step-by-step explanation:

Here is a picture of what the graph would look like:

Armstrong High School decided to purchase 30 lab coats. One lab coat regularly costs $18.50. If a 15% discount is given on the total purchase, how much will the lab coats cost?

Answers

Answer:

hahahhahhahahahhahaahshshhshf hffhfh hfhfhh hfhfhfhfhffh

Erin rolled a number cube with sides labeled 1 through 6. She rolled the number cube 400 times and recorded each result. About how many times could Erin expect to roll a 4?​

Answers

Answer:

about 67 times

Step-by-step explanation:

hope this helps :)

There are five students wearing glasses. There are three more boys than girls wearing glasses. On your worksheet, solve the question and write your answer below. How many boys wear glasses and how many girl wear glasses?

Answers

Answer:

Four boys and one girl.

Step-by-step explanation:

Total students wearing glasses = 5

Separate the students by x and x + 3. It is x + 3 for the boys because there are three more boys wearing glasses.

Girls = x

Boys = x + 3

Total = 5

Calculate:

x + x + 3 =5

2x + 3 =5

2x = 2

x = 1

Boys wearing glasses = (1) + 3 = 4

Girls wearing glasses = 1

write 8,000,000 in scientific notation ?​

Answers

Answer:

A: 8 x 10^6

Step-by-step explanation:

How do I find the slope

Answers

Answer:

Slope is -1

Step-by-step explanation:

Use the equation y = mx + b

Find the y-intercept (b) intersecting point on the y-axisGraph it and you'd get 10Choose any x and y points from the table. I'll choose (5,5) Substitute: 5 = 5m + 10Solve for m --> m = -1Your slope is -1

PLEASE I BEG OF YOU TO HELP ME PLEASE

Answers

Answer:

its B

Step-by-step explanation:

i did it earlier today

Answer:

A

Step-by-step explanation:

-1x-12≤-4

-x≤8

x≥-8

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