Given the following functions f(x) and g(x), composite function f[g(7)] = 85.
What are composite functions?
Let f : A → B and g : B → C be two functions. Then the composition of f and g, denoted by g ∘ f, is defined as the function g ∘ f : A → C given by g ∘ f (x) = g(f (x)), ∀ x ∈ A.
f(x) = 4x + 21
g(x) = 2x + 2
f(g(x)) = 4(2x + 2) + 21 = 8x + 8 + 21 = 8x + 29
f(g(7)) = 8 * 7 + 29 = 56 + 29 = 85
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