If \( f(x)=\left(a x^{2}+b\right)^{3} \), then the function \( g \)...
If \( f(x)=\left(a x^{2}+b\right)^{3} \), then the function \( g \) such that
\( \mathrm{P} \)
\( f(g(x))=g(f(x)) \) is given by
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(1) \( g(x)=\left(\frac{b-x^{1 / 3}}{a}\right)^{1 / 2} \)
(2) \( \quad g(x)=\frac{1}{\left(a x^{2}+b\right)^{3}} \)
(3) \( \quad g(x)=\left(a x^{2}+b\right)^{1 / 3} \)
(4) \( g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2} \)
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