Name:________________________________ Date:________________ Period:______
COMPOSITE FUNCTION WORKSHEET
Directions: Show all work for credit. Work must be neat and answer must be circled.
For 1- 9: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x2 + 1. Compute the following:
1. f(g(-3)) 2. f(h(7)) 3. (g◦h)(24)
4. f(g(h(2))) 5. h(g(f(5))) 6. g(f(h(-6)))
7. f( x + 1) 8. g(3a) 9. h( x – 2)
For 10-11: Let f(x) = -3x + 7 and g(x) = 2x2 – 8. Compute the following:
10. f(g(x)) 11. (g◦f)(x)
12.
3 find
,)( and 53)( If 2
gf
xxgxxf
13.
10 find
,9)( and 99)( If
gf
xxgxxf
