NAME _____________________________________________ DATE ____________________________ PERIOD _____________
5-2 Skills Practice
Composition of Functions
For each pair of functions, find f ◦ g and g ◦ f if they exist.
1. f = {(0, 0), (4, –2)}
2. f = {(0, –3), (1, 2), (2, 2)}
g = {(0, 4), (–2, 0), (5, 0)}
g = {(–3, 1), (2, 0)}
3. f = {(–4, 3), (–1, 1), (2, 2)}
4. f = {(6, 6), (–3, –3), (1, 3)}
g = {(1, –4), (2, –1), (3, –1)}
g = {(–3, 6), (3, 6), (6, –3)}
Find [g ◦ h](x) and [h ◦ g](x) if they exist.
6. g(x) = –3x
5. g(x) = 2x
h(x) = 4x – 1
h(x) = x + 2
7. g(x) = x – 6
8. g(x) = x – 3
h(x) = x + 6
h(x) = 𝑥 2
9. g(x) = 5x
10. g(x) = x + 2
h(x) = 𝑥 2 + x – 1
h(x) = 2𝑥 2 – 3
If f(x) = 3x, g(x) = x + 4, and h(x) = 𝒙𝟐 – 1, find each value.
11. f[g(1)]
12. g[h(0)]
13. g[f(–1)]
14. h[f(5)]
15. g[h(–3)]
15. h[f(10)]
16. f[h(8)]
17. [f ◦ (h ◦ g)](1)
18. [f ◦ (g ◦ h)](–2)
19. h[f(–6)]
20. f[h(0)]
21. f[g(7)]
22. f[h(–2)]
23. [g ◦ (f ◦ h)](–1)
23. [h ◦ (f ◦ g)](3)
Chapter 5
13
Glencoe Algebra 2