Composite Functions Examples - Dearborn Public Schools

Algebra 2

Name___________________________________ ID: 1

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Composite Functions Examples

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1) Find f(g(x)) when f(x) = x - 5 and g(x) = 4x + 3

2) Find h(g(n)) when h(n) = 2n + 5 and g(n) = n + 4

Perform the indicated operation.

3) g(x) = x3 + 5x f (x) = 2x - 2 Find (g f )(x)

4) g(a) = a2 + 1 h(a) = 3a + 4 Find (g h)(a)

5) h(x) = -2x2 - 5 g(x) = 2x - 1 Find (h g)(x)

6) f (x) = -x2 + 3 g(x) = 3x + 4 Find ( f g)(x)

7) g(t) = t + 2 f (t) = 2t Find (g f )(t)

8) f (t) = -t2 - 3 g(t) = -t Find ( f g)(t)

9) g(x) = 3x + 2 f (x) = x3 - 3x2 Find (g f )(x)

10) g(n) = n + 3 f (n) = 3n2 - n Find (g f )(n)

Worksheet by Kuta Software LLC

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11) f (x) = -3x2 - 3x g(x) = 2x + 1 Find ( f g)(0)

12) f (x) = 4x + 5 g(x) = x2 + x Find ( f g)(-5)

13) g(t) = 2t + 5 Find (g g)(2)

14) f (a) = -a - 4 g(a) = 2a + 4 Find ( f g)(2)

15) g(x) = -3x + 2 h(x) = x2 - 2x Find (g h)(-3)

16) g(x) = x + 2 h(x) = -2x2 + 4x Find (g h)(10)

17) f (x) = -2x - 3 g(x) = x2 + 4x Find ( f g)(-10)

18) g(x) = -x2 - 5 Find (g g)(-1)

19) f (x) = 4x + 2 g(x) = 2x + 3 Find ( f g)(-1)

20) g(n) = n + 3 h(n) = n2 - 5 Find (g h)(-4)

Worksheet by Kuta Software LLC

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Answers to Composite Functions Examples (ID: 1)

1) 4x - 2 4) 9a2 + 24a + 17 8) -t2 - 3 12) 85 16) -158 20) 14

2) 2n + 13 5) -8x2 + 8x - 7 9) 3x3 - 9x2 + 2 13) 23 17) -123

3) 8x3 - 24x2 + 34x - 18

6) -9x2 - 24x - 13 10) 3n2 - n + 3

7) 2t + 2 11) -6

14) -12

15) -43

18) -41

19) 6

Worksheet by Kuta Software LLC

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