Education.com
Try
Brainzy
Try
Plus

Combinations of Functions and Inverse Functions Practice Test

By — McGraw-Hill Professional
Updated on Oct 4, 2011

Review the following concepts if needed:

Combinations of Functions and Inverse Functions Practice Test

Problems

Problems 1-5 refer to Combinations of Functions and Inverse Functions Chapter 4 Review and g ( x ) = 2 x + 4.

  1. Find the domain for f + g ( x ).

    (a) (3, ∞)

    (b) (−∞, 3) ∪ (3, ∞)

    (c) (−∞, 3] ∪ [3, ∞)

    (d) [3, ∞)

  2. Find f o g ( x ).

    Combinations of Functions and Inverse Functions Chapter 4 Review

  3. Find g o f ( x ).

    Combinations of Functions and Inverse Functions Chapter 4 Review

  4. Find f o g (4)

    (a) 12

    Combinations of Functions and Inverse Functions Chapter 4 Review

    (c) 6

    (d) 48

  5. Find f −1 ( x ).

    (a) x − 3 Combinations of Functions and Inverse Functions Chapter 4 Review

  6. The graph of f ( x ) is given in Figure 4.13. Does f ( x ) have an inverse?

    (a) Yes

    (b) No

    (c) Cannot be determined 

    Combinations of Functions and Inverse Functions Chapter 4 Review

    Fig. 4.13 .

  7. Are Combinations of Functions and Inverse Functions Chapter 4 Review and g ( x ) = 2 x − 3 inverses?

    (a) Yes

    (b) No

    (c) Cannot be determined

  8. What is the domain for f o g ( x ) where

    Combinations of Functions and Inverse Functions Chapter 4 Review

    (a) (−∞, −2) ∪ (−2, 0) ∪ (0, 2) ∪ (2, ∞)

    (b) (−∞, −2) ∪ (−2, 2) ∪ (2, ∞)

    (c) (−∞, 0) ∪ (0, 2) ∪ (2, ∞)

    (d) (−∞, −2) ∪ (−2, 0) ∪ (0, ∞)

    Combinations of Functions and Inverse Functions Chapter 4 Review

    Fig. 4.14

  9. The solid graph in Figure 4.14 is the graph of f ( x ). The dashed graph is the graph of g ( x ). Find f o g (4).

    (a) −2

    (b) −3

    (c) 2

    (d) 3

Solutions

  1. B
  2. A
  3. C
  4. B
  5. C
  6. A
  7. B
  8. B
  9. B
Add your own comment