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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