Question

Find gof and fog, if f(x) = 8x³ and g(x) = x^1/3.

Answer 1

Given, f(x) = 8x³ and g(x) = x^1/3

then gofix) = g(f(x)) = g(8x³)

= (8x³)^1/3 = [(2x)³]^1/3

= 2x

Now ,fog{x) =f(g(x)) = f(x^1/3)

= 8(x^1/3)³ = 8x