Question

Given that f(x) = 4x^2 - 1 and g(x) = x + 5, find (g ∘ f) (x)

Answer 1

Explanation:

(g○f)(x) = g(f(x))

so we need to evaluate f(x) first and use that result as x in g(x).

that means we are replacing every x in g(x) by f(x) :

(g○f)(x) = (4x² - 1) + 5 = 4x² + 4