# COMPOSITION OF FUNCTIONS WITH THREE FUNCTIONS WORKSHEET

Problem 1 :

Given f(x) = -2x + 1, find f(-6)

Solution

Problem 2 :

Given g(x) = x2, find g(-3)

Solution

Problem 3 :

Given h(x) = -1/2x + 1/2, find h(4)

Solution

Problem 4 :

Given f(x) = -2x + 1, g(x) = x2, find f [g(2)]

Solution

Problem 5 :

Given h(x) = -1/2x + 1/2, g(x) = x2, find h [g(8)]

Solution

Problem 6 :

Given f(x) = -2x + 1, g(x) = x2, find (g ∘ f) (5)

Solution

Problem 7 :

Given g(x) = x2, and h(x) = -1/2x + 1/2, (g ∘ h) (7)

Solution

Problem 8 :

Given f(x) = -2x + 1, g(x) = x2, and h(x) = -1/2x + 1/2, find f [g(c)]

Solution

Problem 9 :

Given f(x) = -2x + 1, g(x) = x2, and h(x) = -1/2x + 1/2, find f [h(5)]

Solution

Problem 10 :

Given f(x) = -2x + 1 and h(x) = -1/2x + 1/2, h [f(r)]

Solution

Problem 11 :

Given f(x) = -2x + 1, g(x) = x2, and h(x) = -1/2x + 1/2, find h[g[f(3)]]

Solution

Problem 12 :

Given f(x) = -2x + 1, g(x) = x2, and h(x) = -1/2x + 1/2, find (f ∘ g ∘ h)(3)

Solution

 1)  f(-6) = 132)  g(3) = 93) h(4) = -3/24)  f [g(2)] = -75)  h[g(8)]  =  -63/26)  g [f(5)] = 81 7)  g[h(7)] = 98)  f [g(c)] = -2c2 + 19)  f[h(5)] = 510)  h[f(r)]=-(1/2)(-2r+1)+1/211)  h[g[f(3)]] = -1212)  f[g[h(3)]] = -1

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