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

Question:

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

If $f(x)=8 x^{3}$ and $g(x)=x^{1 / 3}$ then $(g \circ f)(x)=?$

A. $\mathrm{X}$

B. $2 x$

C. $\frac{\mathrm{x}}{2}$

D. $3 x^{2}$

 

Solution:

$f(x)=8 x^{3}$

$g(x)=x^{1 / 3}$

$\Rightarrow(g \circ f)(x)=(f(x))^{\frac{1}{3}}=\left(8 x^{3}\right)^{\frac{1}{3}}=2 x$

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