Composite Functions

Algebra 2

Name___________________________________

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Composite Functions Review

Date________________ Period____

Perform the indicated operation.

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

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

3) f (a) = 2a2 + a g(a) = a - 2 Find f (g(a))

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

5) f (n) = -2n + 3 g(n) = n2 + 3 Find ( f g)(9)

6) g(x) = x + 2 h(x) = x2 + 5 Find (g h)(-5)

7) h(x) = -3x - 5 Find h(h(-5))

8) h(x) = 3x + 3 g(x) = 3x - 4 Find (h g)(-3)

9) f (n) = -2n + 4 Find ( f f )(-1)

10) f (n) = 4n + 4 g(n) = n2 + 5n Find ( f g)(-4)

11) g(t) = 3t - 3 h(t) = t3 - 5t Find (3g - 2h)(-5)

12) f (n) = n - 5 g(n) = n3 - 4n Find (5 f - 2g)(-3)

Worksheet by Kuta Software LLC ?K e2t0d1r6g BKiuLt]ab lSPosfLtGweaDrZeg tLnLEC\.k p gAhlnls rruiDgKhktMsE HrTeWsHeRrOvZe`dX.J y tMeatdReo \wyi_tmhu aIbnCfjivnsiMtLeU AArldgveMbLrAaL d2u.

Algebra 2

Name___________________________________

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Composite Functions Review

Date________________ Period____

Perform the indicated operation.

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

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

6n + 9

16x2 - 24x + 12

3) f (a) = 2a2 + a g(a) = a - 2 Find f (g(a))

2a2 - 7a + 6

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

-27a2 - 21a - 4

5) f (n) = -2n + 3 g(n) = n2 + 3 Find ( f g)(9)

-165

6) g(x) = x + 2 h(x) = x2 + 5 Find (g h)(-5)

32

7) h(x) = -3x - 5 Find h(h(-5))

-35

8) h(x) = 3x + 3 g(x) = 3x - 4 Find (h g)(-3)

-36

9) f (n) = -2n + 4 Find ( f f )(-1)

-8

10) f (n) = 4n + 4 g(n) = n2 + 5n Find ( f g)(-4)

-12

11) g(t) = 3t - 3 h(t) = t3 - 5t Find (3g - 2h)(-5)

146

12) f (n) = n - 5 g(n) = n3 - 4n Find (5 f - 2g)(-3)

-10

Worksheet by Kuta Software LLC ?Z u2J0X1r6Q pKFuHtMar JSSo_fltvwtaQrYeP ELVLfCo.Y p uAGlPlq BrEiigIhMtnsK grceSs^eJrAvHezdO.A \ NMtaCdpe^ swei^tths ^IanTftiZniiDtseQ eArlPgAefbKrWat L2].

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