Composition And Values Of Functions Worksheet With Answer Key
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1Composition and Values of Functions
2
Given f(x) = 3x – 7 and g(x) = x
+ 1, find the following:
1. f(4)
2. f(-2)
3. f(0)
4. f(a + 1)
5. f(2n)
6. f(2a + 4)
7. g(6)
8. g(0)
9. g(2a + 1)
10. g(-5n)
2
2
11. g(x + 4)
12. f(x – 9)
13. f(x
)
14. g(x
+ 1)
Remember that when you are composing functions, you’re just plugging one function into another. It’s just like
what you did in the problems above!
15. f(g(x)) = f(___________)
16. g(f(x)) = g(___________)
17. f(f(x)) = f(____________)
18. g(g(x)) = g(___________)
2
2
Answers: 1. 5 2. –13 3. –7 4. 3a – 4 5. 6n – 7 6. 6a + 5
7. 37 8. 1 9. 4a
+ 4a + 2 10. 25n
+ 1
2
2
4
2
2
2
11. x
+ 8x + 17 12. 3x – 34
13. 3x
–7 14. x
+ 2x
+ 2 15. f(x
+ 1) = 3x
– 4
2
2
4
2
16. g(3x – 7) = 9x
– 42x + 50 17. f(3x – 7) = 9x – 28
18. g(x
+ 1) = x
+ 2x
+ 2
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