This document contains 16 problems involving composition of functions. For each problem, two functions f(x) and g(x) are defined, and an expression involving composition of those functions is given to evaluate or determine.

2.  Questions will be displayed in random
order between 1 and 16
 Write your answer in the square with the
corresponding number
 When you get four spaces in a row
filled, either horizontally, vertically, or
diagonally, call out BINGO
 Come to the front to see if your answers
are correct, and if they are, you win a
prize!

3. Let f(x)= -x + 2 and g(x) = (x+3) 2
Determine a simplified algebraic model
for:
y= f-1(f(x))

4. Let f(x)= x+2 and g(x)= x2
Evaluate:
f(g(x))=g(f(x))

5. Let f(x)= x2 + 2x – 4 and g(x)= 1
x+1
Evaluate:
y= f(g(-2))

6. Let k(x)= x - 2 and m(x)= x2 - 4
Determine:
y= m(x) and state any asymptotes.
k(x)

7. Let f(x)= 3x+1 and g(x)= 5x2
Determine:
y= g(f(x))

8. True or False?
f(g(x))= g(f(x))

9. Let f(x)= x+2 and g(x)= (x-7) 2
Determine:
y= f(g(x))

10. Let f(x)= x2 and g(x) = x + 3
Determine:
y= g(g(x))

11. Let f(x)= 4x2 -1 and g(x)= 3x+2
Determine:
y= f(g(2))

12. True or false?
(fog)(x) the same thing as saying (g(f(x))

13. Let f(x)= x2 and g(x)= x + 3
Determine:
y= g(f(x))

14. Let f(x)= 4x-3 and g(x)= 2x2
Determine:
y= g(f(5))

15. Let f(x)= -x + 2 and g(f)= (x + 3) 2
Determine:
y= f(g(x))

16. Let f(x)= x2 + 2x - 4 and g(x)= 2
x+1
Evaluate:
y= f(g(-3))

17. Let f(x)= 2x + 5 and g(x)= 3x2
Determine:
y= (Fog)(5)

18. Let f(x)= x2 and g(x)= x - 2
Determine:
y= g(g(x))