6.5B Composite Functions - Amphitheater Public Schools

Algebra 2

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6.5B Composite Functions

Date________________ Period____

Perform the indicated operation.

1) g(t) = 3t + 1 f (t) = t2 - 2 Find g( f (t))

2) h(n) = -2n + 2 g(n) = n - 2 Find h(g(n))

3) f (x) = 3x + 1 g(x) = -3x3 + 3x Find f (g(x))

4) f (x) = 2x + 4 Find f ( f (x))

5) g(a) = 2a + 3 h(a) = 2a3 + 5 Find g(h(a))

6) g(n) = 3n + 1 f (n) = -n + 2 Find (g f )(n)

7) g(x) = 2x - 1 Find (g g)(x)

8) g(n) = 2n - 1 f (n) = -n3 - n2 Find (g f )(n)

9) h(t) = t - 5 g(t) = 3t - 1 Find (h g)(t)

10) f (n) = 2n + 2 g(n) = n3 + 5n2 Find ( f g)(n)

11) g(t) = 2t h(t) = 2t + 4 Find g(h(8))

12) h(x) = 3x + 2 g(x) = -4x - 5 Find (h g)(-5)

13) g(t) = t3 + 4t f (t) = t - 2 Find g( f (4))

14) h(x) = x + 1 g(x) = 3x - 4 Find h(g(3))

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Algebra 2

Name___________________________________

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6.5B Composite Functions

Date________________ Period____

Perform the indicated operation.

1) g(t) = 3t + 1 f (t) = t2 - 2 Find g( f (t))

2) h(n) = -2n + 2 g(n) = n - 2 Find h(g(n))

3t2 - 5

-2n + 6

3) f (x) = 3x + 1 g(x) = -3x3 + 3x Find f (g(x))

-9x3 + 9x + 1

4) f (x) = 2x + 4 Find f ( f (x))

4x + 12

5) g(a) = 2a + 3 h(a) = 2a3 + 5 Find g(h(a))

4a3 + 13

6) g(n) = 3n + 1 f (n) = -n + 2 Find (g f )(n)

-3n + 7

7) g(x) = 2x - 1 Find (g g)(x)

4x - 3

8) g(n) = 2n - 1 f (n) = -n3 - n2 Find (g f )(n)

-2n3 - 2n2 - 1

9) h(t) = t - 5 g(t) = 3t - 1 Find (h g)(t)

3t - 6

10) f (n) = 2n + 2 g(n) = n3 + 5n2 Find ( f g)(n)

2n3 + 10n2 + 2

11) g(t) = 2t h(t) = 2t + 4 Find g(h(8))

40

12) h(x) = 3x + 2 g(x) = -4x - 5 Find (h g)(-5)

47

13) g(t) = t3 + 4t f (t) = t - 2 Find g( f (4))

16

14) h(x) = x + 1 g(x) = 3x - 4 Find h(g(3))

6

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