Composition of Functions

Level 1

100

f(x)= 2x - 1, g(x) = 3x, and h(x) = x^2 + 1

f(g(h(2)))

29

200

f(x)= 2x - 1, g(x) = 3x, and h(x) = x^2 + 1

f(h(7))

99

300

g(n) = 4n and h(n) = 4n + 4

Find (g ∘ h)(-7)

-96

400

f(x)= 2x - 1, g(x) = 3x, and h(x) = x^2 + 1

g(f(h(-6)))

219

500

f(a) = 4a - 1 and g(a) = -3a^2 + 5

Find (f ∘ g)(4)

-173

Level 2

100

g(a) = 3a - 4

Find (g ∘ g)(a)

9a - 16

200

h(n) = 2n + 2 and g(n) = 2n

Find (h ∘ g)(n)

4n + 2

300

f(n)= -4n + 1 and g(n)= -2n - 5

Find (f ∘ g)(n)

8n + 21

400

If p(x) = 4x and q(x) = x+5, find (q ∘ p)(x)

4x +5

500

h(n) = n^2 - 5 and g(n) = -4n +5

Find (h ∘ g)(n)

16n^2 - 40n +20

Level 3

100

g(n) = -4n - 4 and h(n) = n^2 +5 +n

Find (g ∘ h)(n)

-4n^2 - 4n -24

200

If p(x) = 3x and q(x) = x+2, find (q ∘ p)(x)

3x  + 2

300

f(x) = -3x + 7 and g(x) = 2x^2 - 8

f(g(x))

-6x^2 +31

400

f(x)= 2x - 1, g(x) = 3x, and h(x) = x^2 + 1

(g ∘ f)(24)

1731

500

f(x) = -3x + 7 and g(x) = 2x^2 - 8

(g ∘ f)(x)

18x^2 - 84x +90