For the given functions f and g , find the indicated composition.

Question

f(x) = 4x^2+6x+5, g(x) = 6x-6

(g.f)(x)

Answer 1

(g∘f)(x) = g(f(x))

g(4x^2 + 6x + 5) = 6(4x^2 + 6x + 5) - 6

= 24x^2 + 36x + 30 - 6

= 24x^2 + 36x + 24

Hence, (g∘f)(x) = 24x^2 + 36x + 24