Let f(x) = 8x 3 and g(x) = x 1/3 . Find g o f and f o g.

Question

Philoid · Accepted Answer

To find: g o f and f o g

Formula used: (i) f o g = f(g(x))

(ii) g o f = g(f(x))

Given: (i) f(x) = 8x³

(ii) g(x) = x^1/3

We have,

g o f = g(f(x)) = g(8x³)

g o f = = 2x

f o g = f(g(x)) = f(x^1/3)

f o g = = 8x

Ans) g o f = 2x and f o g = 8x