5.1-5.3 Quiz Review

5.3 - Inverse Functions

Find inverse functions and determine whether two functions are inverses

Multiple Choice

Are these the graphs of two inverse functions?

• Yes

• No

Multiple Choice

Which graph represents a function and its inverse?

Multiple Choice

What are the inverse points for the coordinates:

(3, 0) , (2, -4), (5, 5) and (-6,8)

• (3,0) , (2, -4) , (5,5) , (6,8)

• (0,3) , (-4,2) , (5,5) , (8,-6)

• (3,2), (0, -4), (5, -6), (5,8)

Multiple Choice

Find the inverse of  $$f(x)=10+7x$$  

• $$f^{-1}(x)=\frac{x-7}{10}$$

• $$f^{-1}(x)=\frac{x-10}{7}$$

• $$f^{-1}(x)=\frac{1}{10+7x}$$

Multiple Choice

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f[g(x)].  Are the two functions inverses of each other?

• x + 20 ; Yes they are inverses

• x + 20 ; No, they are not inverses

• x ; Yes they are inverses

• x ; No, they are not inverses

5.2 - Function Composition

Perform function operation (at a given value or in general) for functions given ordered pairs or equations

*Go from the inside out!

Multiple Choice

Find f[g(10)]

• 6

• 12

• Undefined

• 5

Multiple Choice

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

Find $$\left(f\ \circ\ g\right)\left(5\right)$$  

• 19

• 23

• -10

• None of these.

Multiple Choice

If $$f\left(x\right)=2x$$   and  $$g\left(x\right)=2x^2-1$$   

Find $$\left(g\ \circ\ f\right)\left(-1\right)$$  

• 2

• 15

• 7

• -9

Multiple Choice

• $$12x^2-6x$$

• $$-16x+6$$

• $$16x+10$$

• $$-16x-20$$

• $$8x-12$$

5.1 - Operations with Functions

Add, Subtract, Multiply, and Divide Functions

Multiple Choice

f(x) = x² - 5x - 8

g(x) = 4x² - x + 3

Find (f + g)(x).

• 5x⁴ - 6x² - 5

• 4x² + 5x + 5

• 4x² + 5x - 5

• 5x² - 6x - 5

Multiple Choice

f(x) = 5x - 7

g(x) = 3x + 10

Find (g - f)(x).

• 2x - 3

• -2x + 3

• -2x + 17

• 2x - 17

Multiple Choice

f(x) = 4x + 8

g(x) = x + 3,

Find f(x) ⋅ g(x)

• 4x² + 24

• 4x² + 20x + 24

• 4x² + 12x + 24

• 4x² + 4x + 24

Multiple Choice

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Multiple Choice

Given the functions

$$f\left(x\right)=x^2+5$$  and  $$g\left(x\right)=4x-9$$   find  $$\frac{f}{g}$$   and give the value that can not be included in the domain

• $$\frac{4x-9}{x^2+5}$$  

  $$x\ne-5$$  

• $$\frac{x^2+5}{4x-9}$$  ,

  $$x\ne\frac{9}{4}$$  

• $$\frac{x^2}{4x}$$   ,

  $$x\ne0$$  

• $$\frac{x^2+5}{4x-9}$$  , $$x\ne\frac{4}{9}$$