Quiz about Advanced Algebra Inverse Functions

Question 1

The inverse of f(x) = 2x - 13 is

f^-1(x) = ?

Accepted Answer

$$\frac{x+13}{2}$$

Answer

$$2x+13$$

Answer

$$\frac{x}{2}+13$$

Answer

$$\frac{x+2}{13}$$

Question 2

The inverse of f(x) = 3 / (x + 4) is

f^-1(x) = ?

Accepted Answer

(-4x + 3) / x

Answer

(4x - 3) / x

Answer

-3x / 4

Answer

(-4x -3) / x

Question 3

Are these the graphs of two inverse functions?

Accepted Answer

Yes

Answer

No

Answer

No way to tell

Question 4

Are the blue and red graphs inverse functions?

Accepted Answer

yes

Answer

no

Answer

no way to tell

Question 5

Was the inverse function found correctly?

Accepted Answer

no,

Answer

yes

Question 6

Is the inverse function found correctly?

Accepted Answer

yes

Answer

no

Question 7

What is the range of the inverse function of ?

Accepted Answer

$$x \geq 2$$

Answer

$$x > 0$$

Answer

All real numbers

Answer

$$x \geq 0$$

Question 8

Are f(x) and g(x) inverses?

Accepted Answer

No because $$f\left(g\left(x ight) ight) e g\left(f\left(x ight) ight) e x$$

Answer

Yes because

$$f\left(g\left(x\right)\right)=g\left(f\left(x\right)\right)=x$$

Answer

Yes because

$$f\left(g\left(x ight) ight) e g\left(f\left(x ight) ight) e x$$

Answer

No because

$$f\left(g\left(x\right)\right)=g\left(f\left(x\right)\right)=x$$

Question 9

What's the name of the inverse of g(x)?

Accepted Answer

g-1(x)

Answer

f(x)

Answer

f-1(x)

Answer

y

Question 10

What is the inverse of the function
f(x) = 2x + 4 ?

Accepted Answer

$$f^{-1}(x)=\frac{(x-4)}{2}$$

Answer

$$f^{-1}(x)=4(x-2)$$

Answer

$$f^{-1}\left(x\right)=\frac{x}{2}-4$$

Answer

$$f^{-1}(x)=\frac{x}{4}+2$$

Question 11

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Accepted Answer

(4, 1) and (6, 4)

Answer

(1, 4) and (4, 6)

Answer

(-4, -1) and (-6, -4)

Answer

(-1, -4) and (-4, -6)

Question 12

are these inverse functions?

Accepted Answer

no

Answer

yes

Answer

no way to tell

Question 13

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

Accepted Answer

4

Answer

16

Answer

-4

Answer

None of these.

Question 14

what is f(g(2)) ?

Accepted Answer

1

Answer

3

Answer

8

Answer

4

Advanced Algebra Inverse Functions

20 questions

Let f(x) = -3x - 4 and g(x) = -7x +2.
Find (f º g)(-2)

The inverse of f(x) = 2x - 13 is
f^-1(x) = ?

The inverse of f(x) = 3 / (x + 4) is
f^-1(x) = ?

Find the inverse of f(x) = 3x² - 5

Are these the graphs of two inverse functions?

Are the blue and red graphs inverse functions?

Was the inverse function found correctly?

An (a) takes a previously found result ( a y value) and returns it to its original value (x value). This means you are (b) a function

Is the inverse function found correctly?

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Advanced Algebra Inverse Functions

20 questions

Let f(x) = -3x - 4 and g(x) = -7x +2.Find (f º g)(-2)

The inverse of f(x) = 2x - 13 isf-1(x) = ?

The inverse of f(x) = 3 / (x + 4) isf-1(x) = ?

Find the inverse of f(x) = 3x2 - 5

Are these the graphs of two inverse functions?

Are the blue and red graphs inverse functions?

Was the inverse function found correctly?

An ​ (a) takes a previously found result ( a y value) and returns it to its original value (x value). This means you are ​ (b) a function

Is the inverse function found correctly?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Let f(x) = -3x - 4 and g(x) = -7x +2.
Find (f º g)(-2)

The inverse of f(x) = 2x - 13 is
f^-1(x) = ?

The inverse of f(x) = 3 / (x + 4) is
f^-1(x) = ?

Find the inverse of f(x) = 3x² - 5

An (a) takes a previously found result ( a y value) and returns it to its original value (x value). This means you are (b) a function