Review the following concepts if needed:
Combinations of Functions and Inverse Functions Practice Test
Problems
Problems 15 refer to and g ( x ) = 2 x + 4.

Find the domain for f + g ( x ).
(a) (3, ∞)
(b) (−∞, 3) ∪ (3, ∞)
(c) (−∞, 3] ∪ [3, ∞)
(d) [3, ∞)

Find f o g ( x ).

Find g o f ( x ).

Find f o g (4)
(a) 12
(c) 6
(d) 48

Find f ^{−1} ( x ).
(a) x − 3

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

Are and g ( x ) = 2 x − 3 inverses?
(a) Yes
(b) No
(c) Cannot be determined

What is the domain for f o g ( x ) where
(a) (−∞, −2) ∪ (−2, 0) ∪ (0, 2) ∪ (2, ∞)
(b) (−∞, −2) ∪ (−2, 2) ∪ (2, ∞)
(c) (−∞, 0) ∪ (0, 2) ∪ (2, ∞)
(d) (−∞, −2) ∪ (−2, 0) ∪ (0, ∞)

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
 B
 A
 C
 B
 C
 A
 B
 B
 B
Ask a Question
Have questions about this article or topic? AskRelated Questions
See More QuestionsToday on Education.com
Popular Articles
 Kindergarten Sight Words List
 Signs Your Child Might Have Asperger's Syndrome
 10 Fun Activities for Children with Autism
 Social Cognitive Theory
 Problems With Standardized Testing
 First Grade Sight Words List
 Child Development Theories
 Theories of Learning
 April Fools! The 10 Best Pranks to Play on Your Kids
 Nature and Nurture