Composition and inverse functions Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/algebra-2/composition-and-inverse-functions/quiz/

1. 1

   Solve f(x) = 2x + 1, g(x) = x² − 3, f(g(2))
   1. A) 4
   2. B) −3
   3. C) 1
   4. D) 3

2. 2

   Solve f(x) = x + 5, g(x) = 2x, g(f(1))

   Answer: ____________________

3. 3

   Find the inverse of f(x) = x + 4.

   Answer: ____________________

4. 4

   f(x) = x − 9, find the inverse

   Answer: ____________________

5. 5

   Solve f(x) = 2x + 1, g(x) = x² − 3, f(g(x))

   Answer: ____________________

6. 6

   Solve f(x) = 3x, g(x) = x + 2, g(f(x))

   Answer: ____________________

7. 7

   f(x) = 3x − 5, find the inverse

   Answer: ____________________

8. 8

   Solve f(x) = 7 − 2x, inverse

   Answer: ____________________

9. 9

   Solve f(x) = x − 1, g(x) = x² + x, g(f(x))

   Answer: ____________________

10. 10

    f(x) = x4 − 3, find the inverse

    Answer: ____________________