If f(x) = 8x^3 and g(x) = x^1/3 then (g o f) (x) = ?

Question

Mark (√) against the correct answer in the following: 

If f(x) = 8x³ and g(x) = x^1/3 then (g o f) (x) = ? 

A. x 

B. 2x 

C. \(\frac{x}{2}\)

D. 3x²

Answer 1

Correct Answer is (B) 2x

f(x) = 8x³

g(x) = x^1/3

\(\Rightarrow (gof)(x)=(f(x))^{1/3}\)\(=(8x^3)^{1/3}=2x\)