Find fx and gx such that hx f gx if hx 2x 123 fx x3 and

Find f(x) and g(x) such that h(x) = (f g)(x) = if h(x) = (2x - 12)^3 f(x) = x^3 and g(x) = 2x f(x) = 2x - 12 and g(x) = x^3 f(x) = (2x)^3 and g(x) = -12 f(x) = 2x^3 and g(x) = x - 12

Solution

According to the question

h(x) = f*(g)x if h(x) = (2x-12)^3

substitue the value of f(x) and g(x)

we got  (2x-12)^3 = x^3 where x = 2x - 12

  (2x-12)^3 = (2x - 12)^3

Proved option first answer