-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

Abosolute value of -5

Answers

The absolute value of -5: 5

i neeed help asap please

Answers

Answer:

last option.

linear pair

.............

equations with variables on both sides that make the answer x=8

Answers

Answer:

x/4 = x-6

Step-by-step explanation:

x/4 = x-6 makes x = 8

Hope this helps!!!

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x = 11.8

Step-by-step explanation:

Side a = 11.78983

Side b = 3

Side c = 10

Angle ∠A = 120° = 2.0944 rad = 2/3π

Angle ∠B = 12.731° = 12°43'50" = 0.22219 rad

Angle ∠C = 47.269° = 47°16'10" = 0.82501 rad

The answer for x is 11.8

Find the slope of the line that passes through (10,5) and (3,2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
I NEED THIS ASAP!!

Answers

the answer is 3/7, 5-2=3 and 10-3=7

7/3 into a mix number

Answers

Answer: 2 1/3

Step-by-step explanation:

Answer and Step-by-step explanation:

To turn [tex]\frac{7}{3}[/tex] into a mixed number, we see how many times 3 goes into 7.

3 goes into 7 two times, so we put a  two on the outside.

[tex]2\frac{1}{3}[/tex]

^ This is your answer, cause when you do 3 times 2, plus the numerator (1), you get 7.

#teamtrees #WAP (Water And Plant)

1. Given: Angle 2 is 65 degrees.

(a) What is the angle measurement of Angle 4. Explain the angle relationship used and show your work.
(b) What is the angle measurement of Angle 7. Explain the angle relationship used and show your work.
(c) What is the angle measurement of Angle 3. Explain the angle relationship used and show your work.

Answers

Answer:

Part A. Angle 4 is 115         Part B. angle 7 is 65        Part C angle 3 is 65

Step-by-step explanation: Part A. Is a corresponding angle of 1 and 4         Part B. alternate exterior angle of 2      Part C. corresponding angle of 7

Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this diagram to help him.

A right triangle with side length 7 kilometers, d, and hypotenuse of 9 kilometers.

What is the approximate distance across the lake, to the nearest tenth of a kilometer?
5.7 km
6.3 km
11.4 km
16.0 km

Answers

Answer:

The first option     (5.7km)

Step-by-step explanation:

Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]9^{2} = 7^{2} + d^{2}[/tex]

[tex]d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\[/tex]

d ≈ 5.7km

There for aproximate distance across the lake is equal to 5.7km

Answer:

A

Step-by-step explanation:

how do I simplify each expression by combining like terms for this problem
-7+13x+2x+8​

Answers

Answer:

the answer would be 15x+ 1

Step-by-step explanation:

Answer:

1 + 15x

Step-by-step explanation:

-7+13+2x+8   separate the terms

-7+8 = 1

13x + 2x = 15x  put them together

1+15x

HURRY
1.3(2x + 4) + 2(3x – 4)
2. Evaluate the expression for x=5

Answers

Answer:

According to my evaluations this equation is very petty and most likely has an answer. There are variables and numbers "3x". This part of the equation makes me feel special because 3 is a prime number. It is also mysterious because we dont know for sure what x is. This equation teaches the mathematician the true meaning of life. As it demonstrates the complexity, the information you know for sure and the information that you will learn in the future. The reader will also learn that not all problems can be solved and the ones that can be solved should be solved with varying difficulty. Finally the individual will realize that everyone has their own method to solve problems and go about life. In conclusion, this pretty equation teaches the mathematician about the importance of hard work and acceptance of everyone in their community.

Answer:

8.6x-2.8

Step-by-step explanation:

Also i feel like ik u from school or something.

There was this girl who had the exact last name and first name

please help me with geometry question :)

Answers

Given:

The graph of a triangle ABC.

A line is parallel to AC and passes through the point D.

To find:

The point at which the intersection of this parallel line be with the line BC.

Solution:

From the given figure it is clear that A(1,7), B(9,7), C(9,1) and D(5,7).

Slope of AC is

[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]Slope=\dfrac{1-7}{9-1}[/tex]

[tex]Slope=\dfrac{-6}{8}[/tex]

[tex]Slope=\dfrac{-3}{4}[/tex]

Slope of parallel lines are same. So, the slope of parallel line is also [tex]-\dfrac{3}{4}[/tex].

The parallel line passes through D(5,7) with slope [tex]-\dfrac{3}{4}[/tex]. So, the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-7=-\dfrac{3}{4}(x-5)[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{15}{4}+7[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{28+15}{4}[/tex]

[tex]y=-\dfrac{3}{4}(x)+\dfrac{43}{4}[/tex]              ...(i)

From the given graph it is clear that the line BC is a vertical line. So, the x-coordinates of all the points lie on BC are the same, i.e., 9.

Putting x=9, we get

[tex]y=-\dfrac{3}{4}(9)+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{-27}{4}+\dfrac{43}{4}[/tex]

[tex]y=\dfrac{16}{4}[/tex]

[tex]y=4[/tex]

Therefore, the point at which the intersection of this parallel line be with the line BC is (9,4).

The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.

An equation is ____=540​
The solution is x=____

Answers

in figure

85+5n+5n+5n+5f+5n-10=540

20n+80=540

20n= 460

x=23

If gasoline costs $3.28 per gallon, how much would 15.5 gallons cost?

Answers

Answer:

$50.84

Step-by-step explanation:

By multiplying $3.28 × 15.5 = $50.84

The Science Club went on a twoday field trip. The first day the members paid $50 for transportation plus s19 per ticket to the planetarium. The second day they paid $85 for transportation plus s16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for then members of the club. An expression that represents the total cost in dollars for two days for the n mambers Of the club is given by​

Answers

Answer:

(50+19)+(85+16)

170xn

Step-by-step explanation:

These figures are congruent. What is the measurement? pic below

Answers

Answer:

i dont know

Step-by-step explanation:

4 movie tickets cost $35, how many dollars per ticket​

Answers

8.75$ that’s the amount 35 divided by 4

Answer:

140

Step-by-step explanation:

35 x 4= 140

Ypu deposit $200 in an account that earns 4% simple interest. How much interest did you earn in 3 years?

Answers

Answer:

$1200

Step-by-step explanation:

we know that,

I=PTR/100=200*4*3/100=100*4*3=400*3=$1200

Answer:

1,200

Step-by-step explanation:

Treyvion runs a total of 48 miles in 12 days, how many miles can he run in 20 days?​

Answers

Answer:

80 miles in 4 days.

Step-by-step explanation:

48/12 = 4

4 miles per day

4 × 20 = 80

80 miles in 4 days

139 invitations to 38 invitations,what is the percent change?

Answers

Answer:

Step-by-step explanation:

decrease of 139-38 = 101

101/139 ≅ 0.727 = 72.7%

Solve the following triangle

Answers

Answer:

69

Step-by-step explanation:

as , 77+x = 146(external angle) , so x = 146 - 77

so x = 69

Answer:

Step-by-step explanation:

hope you'll now how to do it by ur own.

:)

Jim needs to move his firewood from his truck to the woodpile in his house. He estimates that he will move 1/8 of the total wood in 45 minutes. Which unit rate can he use to help him plan how long it will take for him to move all the firewood?
Please explain how you got to answer

Answers

1/6 of the wood in one hour. Let me help you with future problems i use this app called socratic it helps alot trust

First to answer gets brainliest

Answers

55>5x+39 this is your equation and since he wants to stay under 55 you didn’t use the one with the line.

Evaluate m3 + n3 for m = 3, n = 2.
O A. 8
O B. 27
O C. 35
O D. 15

Answers

it’s D(15)
(3)*3+(2)*3
9+6=15

HELP ME PLS :) !!!!!

Answers

Answer:

30

Step-by-step explanation:

78-48=30

78-48=30 es la respuesta

3x + 7x - 8 = -19

can someone please help me with this math problem

Answers

Combine like terms
3x+7x= 10x
10x-8= -19
+ 8. +8

10x= -11
————
10. 10

x= -1.1

Answer:

x= -1.1

Step-by-step explanation:

first combine like terms

3x+7x=10x

10x-8=-19

+8 on both sides

10x= -11

divide by 10

x= -1.1

check the answer

10(-1.1)-8= -19

-11-8= -19 its true

classify the number -4_6/7 in as many ways as you can

Answers

-34/7 is the exact form -4.857142 repeating

Solve for x in the equation X2 - 10x+ 25 = 35.
o
X
<= 5+2.15
X=5+ 35
X = 10+ 2.15
X= 10+ 35

Answers

x²-10x + 25 = 35

x²-10x = 35-25

x²-10x = 10

x(x-10) = 10

x = 10

x-10 = 10
x = 10+ 10
x = 20


so x = 10 , x = 20

Determine the solution to the system of equations

{8x-3y=-11
-4x+2y=6}

And write your solution as an ordered pair.




Help!!

Answers

Answer:

no sé pero no se y no se y más no se

What is the equivalent measure of 2.8 grams in hectograms?

Answers

Answer:

0.028 hectograms

Step-by-step explanation:

1 gram = 0.01 hectograms

cinco ejemplos de incremento​

Answers

Answer:

Ejemplos de incremento matemático que pueden ocurrir son:

-Suma: se adiciona una cantidad adicional a otra previamente existente. Ejemplo: 5 + 2 = 7, donde 5 es la cantidad inicial, y 2 es la cantidad adicional, sumando 7 como cantidad final.

-Multiplicación: aquí se adiciona el mismo número inicial tantas veces como su multiplicador indique. Ejemplo: 5 x 3 = 15, donde el número inicial 5 es sumado 3 veces (5 + 5 + 5) para dar un total de 15.

-Potenciación: en este caso se multiplica el mismo número por sí, por la cantidad de veces que indique el número potenciador. Ejemplo: 7^2, donde 7 es multiplicado por 7 dos veces, es decir, 7 x 7, cuyo resultado es 49.

Así, cinco ejemplos de este tipo de operaciones pueden ser:

6^3 = 216

4x4 = 16

25+90 = 115

77 + 2x8 = 93

88 + 14 = 102

Other Questions
Oliver bought 5 glow bracelets for each of his party guests and 2 glow bracelets to keep for himself. He bought a total of 37 glow bracelets. How many guests did Oliver invite to his party? If you drink a gallon or more of fresh water at a single sitting, what happens to your blood and then what might happen to the cells in the blood? to complete the equation andUse the graph to determine which values can be usedx^2/a^2 - y^2/b^2= 1.a:b: PLEEASEEEEEEEEE HEELPPPPPPPPPPPP Which of the following molecules is least soluble in water? What Buddhist teaching does the excerpt support?cross outA.Make sure your mind keeps your senses under control.cross outB.Tell the truth, do not gossip, and do not speak badly of others.cross outC.Do not commit evil acts, such as killing, stealing, or living an unclean life.cross outD.Practice meditation to see the world in a new way.He avoids tale-bearing, and abstains from it. What he has heard here, he does not repeat there, so as to cause dissension there; and what he heard there, he does not repeat here, so as to cause dissension here. Thus he unites those that are divided; and those that are united, he encourages. Concord gladdens him, he delights and rejoices in concord, and it is concord that he spreads by his words. . . . He avoids harsh language, and abstains from it.from Buddha, The Word, translated by Paul Carus Help plsWhat is the main detail when Multiplying a Difference of Squares?There is no "A" ValueThere is no "B" ValueThere is no "C" ValueIk its not c! Apply the distributive property to the expression 9(6m-4n). DO NOT SYMPLIFY. Land doesn't vote, people do" refers to what concepta. density of urban cores that went democrat in the last electionc. the number of states that went republican in the last electiond. more proof that the election was stolen anyone know how to do this? Which additional claim can be BEST supported by the evidence from the skulls in the whale fossil record? A. The fossil record shows differences in the skulls of the mammals, which shows that they are from three separate species that all lived at the same time. B. The fossil record shows similarities in the skulls of the mammals, which shows that they must have had similar habitats and environments. C. The fossil record shows that some mammals evolved so that their nostrils are further at the top of their skull for better breathing while in the water. D. The fossil record does not give enough evidence about the mammals to determine if there is a relationship between the three skulls. Profile: Who is Jared Diamond?1.What are Jared Diamond's credentials? (credentials means evidence of authority) Help plsMost of Eastern Europe was under communist influence until around 1990. What lingering effect do you think communism might have on Eastern Europe PART A: Which of the following identifies the central idea of the text? What must you subtract from the expression 5x 8 in order to make it equivalent to 9x 1 for all values of x? What is the base of the expression 11/12 5 circles lie on the same plane.What is the maximum number of intersection points the circles can have? Shown is a square garden with a triangular pond.Find the area of the garden that is grass Who was Zheng He, and what did he do? A triangle has side lengths of 11 cm and 7cm. Which could be the value of the third side, 19cm or 17 cm