-Let g(x) be a function defined by g(x) = x3.
a) Sketch the graph of g(x).
b) Find the inverse g-1(x) of g(x) then sketch the graph of g-1(x). c) Specify the domain and range of g(x) and g-1(x).
d) Determine the end behavior of g(x) and g-1(x).

Answers

Answer 1

Answer:

Step-by-step explanation:

a) The graph rises steeply from the third quadrant  and there is a point of inflection through  the origin (0, 0) then rises steeply in quadrant 1.

b) Let y = g(x) = x^3

x = ∛y

So g(-1)x = ∛x.

The graph is the reflection of g(x) in y = x.

c) Domain of g(x) = All real x, Range is all real g(x).

Domain of  g(-1)x  = All real x, Range = all real g-1(x).

d) You will see the end behaviour from the graphs.

I tried to send you a link to the graphs but the system wont allow it.


Related Questions

At home Moses uses all his free time to play video games, road and skateboard. He spends 75% of his free
te reading. 12.5% of his free time is spent playing video games and he skateboards from 5:15PM to
5:45PM How much free time does Moses get in total?

Answers

240 minutes which is 4 hours

solve and receive brainlist​

Answers

Answer:

x = 4

Step-by-step explanation:

2x + 1 = 9

2x = 9 - 1

2x = 8

x = 4

Answer:

x=4

Step-by-step explanation:

9-1=8

8/2=4

15 PTS !!
NEED ASAP HELP !!

Answers

Answer:

314.16 m^2

Step-by-step explanation:

y=-4x +9 Identify the rate of change

Answers

Answer:

the rate of change is -4

Step-by-step explanation:

it's set up as y=mx+b

m is the rate of change

b is the y-intercept

m= -4

b=9

Answer:

f ( x ) = [tex]x^{2}[/tex] , [ 2 , 3 ]

− 4

Step-by-step explanation:

[tex]5x/x-4=20/x-4+3[/tex]

Answers

Answer:

x=4

Step-by-step explanation:

multiplying everything by x-4 we get

5x=20+3x-12

2x=8

x=4

if my answer helps please mark as brainliest.

Which fraction is greater? ​

Answers

Answer:

1/2

Step-by-step explanation:

Which of the following has the ability to line- item veto a law? A Governors b. The president C. Mayors can you help me please

When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that of them were not pumping accurately​ (within 3.3 oz when 5 gal is​ pumped), and pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than​ 20% of the pumps are inaccurate. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis. A. ​: p0.2 ​: p0.2 B. ​: p0.2 ​: p0.2 C. ​: p0.2 ​: p0.2 D. ​: p0.2 ​: p0.2 E. ​: p0.2 ​: p0.2 F. ​: p0.2 ​: p0.2 The test statistic is z nothing. ​(Round to four decimal places as​ needed.) The​ P-value is nothing. ​(Round to four decimal places as​ needed.) Because the​ P-value is ▼ greater than less than the significance​ level, ▼ fail to reject reject the null hypothesis. There is ▼ insufficient sufficient evidence support the claim that less than​ 20% of the pumps are inaccurate.

Answers

Complete question :

When testing gas pumps for​ accuracy, fuel-quality enforcement specialists tested pumps and found that 1294 of them were not pumping accurately​ (within 3.3 oz when 5 gal is​ pumped), and 5705 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than​ 20% of the pumps are inaccurate. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution.

Answer:

H0​: p=0.2

H1​: p<0.2 ;

- 3.16 ;

0.0008 ;

p value is < α ; We reject the Null.

Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate

Step-by-step explanation:

The null hypothesis ; H0 : p = 20%

Alternative ; H1 : p < 20%

Sample size, n = 1294 + 5705 = 6999

p = inaccurate / total

p = 1294 / 6999 = 0.1849

The test statistic (Z) :

(P - P0) ÷ sqrt((P0(1 - P0)) /n)

P0 = 0.2

(0.1849 - 0.2) ÷ sqrt((0.2 * 0.8)/6999))

−0.0151 ÷ 0.0047812

= - 3.1582029

= - 3.16

Pvalue : using the Pvalue from Zstatistic calculator at α = 0.01

P value = 0.000789

P value = 0.0008 (4 decimal places).

Since p value is < α ; We reject the Null.

Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate

7. Mrs. Dyson asked her students to draw a figure with a perimeter of 4x+4.
Shown below are 4 drawings made by her students. (They are not drawn to
scale.) Which one is NOT correct? *

Answers

Answer:

the answer is b

Step-by-step explanation:

The points (2, 8) and (1, 2) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer:

y = 6x - 4

Step-by-step explanation:

(2, 8) & (1, 2)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(2 - 8) / (1 - 2)

Simplify the parentheses.

= (-6) / (-1)

Simplify the fraction.

-6/-1

= 6

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 6x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 6(1) + b

To find b, multiply the slope and the input of x(1)

2 = 6 + b

Now, subtract 6 from both sides to isolate b.

-4 = b

Plug this into your standard equation.

y = 6x - 4

This is your equation.

Check this by plugging in the other point you have not checked yet (2, 8).

y = 6x - 4

8 = 6(2) - 4

8 = 12 - 4

8 = 8

Your equation is correct.

Hope this helps!

Use the epression to answer the question.
24-6×6÷4
What is the value of the epression?
A. 3
B. 15
C. 20
D. 27

Answers

Answer:

The answer is B.

Step-by-step explanation:

To subtract fractions, find the LCD and then combine.

So the answer is 15.

Hope this helps :)

-ilovejiminssi♡

1 over blank = 2 over 10 = blank over 100

Answers

Answer:

[tex]\frac{1}{5}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{20}{100}[/tex]

Step-by-step explanation:

It's all about equivalent fractions.

[tex]\frac{1}{5}[/tex]

[tex]\frac{2}{10}[/tex]

[tex]\frac{20}{100}[/tex]

[tex]\frac{1}{5}[/tex] 1 × 2 = 2. 5 × 2 = 10. That is what makes [tex]\frac{2}{10}[/tex].

[tex]\frac{2}{10}[/tex] 2 × 10 = 20. 10 × 10 = 100. That is what makes [tex]\frac{20}{100}[/tex].

4 (w+1) =-6 gsdfnvbsfgbsdfbsdfb

Answers

Answer:  Hello There!!

w = -5/2

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

Answer:

-10/4

Step-by-step explanation:

4(w+1)=−6

Step 1: Simplify both sides of the equation.

4(w+1)=−6

(4)(w)+(4)(1)=−6(Distribute)

4w+4=−6

Step 2: Subtract 4 from both sides.

4w+4−4=−6−4

4w=−10

Step 3: Divide both sides by 4.

4w/4 = -10/4

Please please give answer for this question

Answers

ANSWER: 25

EXPLANATION: First find the area of one single square by multiplying b(BASE) * h(HEIGHT). Repeat for other figure. Finally you will add both sums.

express (4+7i)(2-i) in the form a+ib​

Answers

(4+7i)(2-i)

multiply it out

8-4i +14i -7i squared

i squared is the same as -1

8-4i+14i-7(-1)

8+7-4i+14i

15+10i

divide by common factor which is 5 in this case

3+2i

Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a jack and then selecting a king

The probability of selecting a jack and then selecting a king is _______
(Round to three decimal places as needed)

Answers

Answer:

3.25

Step-by-step explanation:

Round 7.5 to nearest whole number

Answers

Answer:

The answer is 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

When a number has .5 after it you round up.

So, if a number has 5, 6, 7, 8, or 9 after the decimal round up

If a number has 1, 2, 3, or 4 after the decimal round down

Hope this helps!!

- Kay :)

¿Cómo se dice 80 en números romanos?​

Answers

Answer:

PLEASE MARK ME BRAINLEST...

Step-by-step explanation:

Para leer y escribir correctamente el número 80 como número romano LXXX, debe leerse y escribirse de izquierda a derecha, y de mayor a menor número.

Answer:

Guessing that Romanos means Roman Numerals = LXXX

Step-by-step explanation:

L=50

X=10

10X3= 30

30+50=80

What is the greatest common factor of 12^5 and 8^3

Answers

4^3

Hope this helps!!!!

Adrienne’s lunch cost $13.16. She hands the cashier $20. About how much change does Adrienne receive?

Answers

Answer:

Use long subtraction to evaluate.

6.84

Step-by-step explanation:

2. Vernon practiced soccer 5 hours this week. He practiced 4 hours on weekdays and the rest over the weekend.
a. Write an equation that represents the situation. Define your variable.

b. What is the least common multiple of the denominators of 5 and 4 ? Show your work.

c. Solve the equation and interpret the solution. Show your work.​

Answers

I think it is either b or a

Answer:

a- Vernon practiced soccer 5  3/4hours this week. He practiced 4  1/3hours on weekdays and the rest over the weekend.

Step-by-step explanation:

Hope this helps

Yesterday,
5/8
of the 72 students in a contest gave their speeches. How many students gave their speeches?
Write your answer in simplest form?

Answers

Answer:

45

Step-by-step explanation:

5 divided by 8, multiply by 72

=(5÷8)72

=(0.625)72

=45

NEED HELP ASAPPP please

Answers

Answer:

it might be d I am not shore but I think that one sounds the best branley is making me do this to sigh. up sorry donjot use this

Question 18 of 25 Which of the following statements are not true regarding functions? Check all that apply. O A. A function is a relation in which each value of the input variable is paired with at least one value of the output variable. B. A sequence is a function whose domain is the set of natural numbers. I C. The vertical line test may be used to determine whether a function is one-to-one. OD. The horizontal line test may be used to determine whether a function is one-to-one.​

Answers

the answer is I C and OD. I hope this helps

the answer is OCD and i don’t unfollow me

The midpoint of AB is M(-2,1). If the coordinates of A are
(1, -2), what are the coordinates of B?

Answers

Answer:

(-1, 2)

Step-by-step explanation:

Problem: A federal agency is deciding which of two waste dump projects to investigate. A top administrator estimates that the probability of federal law violations is 0.30 at the first project and 0.25 at the second project. Also, he believes the occurrences of violations in these two projects are mutually exclusive (that is, the events are disjoint).

a). find the probability of federal law violations in the first project or the second project.
b). given that there is not a federal law violation in the first project, find the probability that there is a federal law violation in the second project.
c). In reality, the administrator confused mutually exclusive and independent, and the events are actually independent. Answer (a) and (b) with this correct information.

Answers

Answer:

Following are the solution to the given points:

Step-by-step explanation:

For point (a) :

In this, two points are  exclusive to one another,  it is a probability that first or the  second project will have breaches,

[tex]\to P = P(A) + P(B)[/tex]

       [tex]= 0.3 + 0.25\\\\= 0.55[/tex]

Since the p(A & B)=0  is mutually exclusive.

For point (b):

[tex]\to P = ( \frac{1 -p(A)) \times P(B)}{((1-P(A)) \times P(B) + P(A&B)}) \\\\[/tex]

       [tex]= \frac{(1 -0.3)\times 0.25}{(1-0.3)*0.25 + 0} \\\\ = 1[/tex]

For point (c):

 if both a and b are independent:

(a):

[tex]P = P(A) + P(B) - P(A)\times P(B) \\\\[/tex]

   [tex]= 0.3 + 0.25 - 0.3 \times 0.25\\\\ = 0.475[/tex]

(b):

[tex]P = \frac{(1 -p(A)) \times P(B)}{((1-P(A)) \timesP(B) + P(A&B))} \\\\[/tex]

   [tex]= \frac{(1 - 0.3)\times 0.25}{((1-0.3)\times0.25 + 0.3\times0.25)}\\\\ = 0.7[/tex]

Whats the correct answer and show me how u got it and Ill give u the brainlest please help


The annual state budget for Texas is 108.0 billion with a population of 29.00 million residents. Round all scientific answers with two decimals with no spaces.

Example: 1.23x10^4 or 1.23E4



Write the Budget in scientific notation. 1 point Budget:

Write the population in scientific notation. 1 point Population:

Round to a whole number for the next part:

Calculate the Budget Per Capita and write your answer in standard notation. 2 points

On your paper only: Use the budget per capita in a meaningful sentence.

Answers

Are the animals in budget it’s 47,000,000÷67 three cool stuff for a cool cat

help with geometry please !

Answers

7x + 18 = 8x

8x-7x = 18
x = 18

3y = 2x
3y = 2(18)
3y = 36
y = 12

Translate this sentence into an equation.

64 is the product of Goran’s height and 4

Use the variable g to represent Goran’s Height

Answers

Answer:

g×4=64

product means multiply

so that would mean Gorans height times 4 and that would all equal 64

hope this helped

Evaluate 2a + 4b
If a=10 and b=6

Answers

Answer:

44

Step-by-step explanation:

2a     +  4b                a= 10    &     b=6

2(10) +  4(6)

20    +   24

44

which function displays the fastest growth as the x-values continue to increase?

Answers

D. q(x)
it is the only exponential function
y is multiplied by 2 each time c increases by 1

The exponential function q(x) displays the fastest growth as the x-values continue to increase.

The correct option is D.

What is an exponential function?

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

Given:

A table is given for the value of x.

The function m(x) shows the linear relationship.

Because it has constant first difference.

n(x) is not a function because it has 2 input values connecting to one output value.

And the function q(x) has common ratio,

0.3/0.15 = 2.

So, it is an exponential function.

So, this function will display the fastest growth.

Therefore, the function is q(x).

To learn more about the exponential;

https://brainly.com/question/14344314

#SPJ6

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