If f(= (ax2 + b)3, then the function g such that f(g(x)) = g(f(x)) is given by
A. \(g(x)=\left(\frac{b-x^{1 / 3}}{a}\right)\)
B. \(g(x)=\frac{1}{\left(a x^{2}+b\right)^{3}}\)
C. \(g(x)=\left(a x^{2}+b\right)^{1 / 3}\)
D. \(g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}\)
Answer:D
If f(= (ax2 + b)3, then the function g such that f(g(x)) = g(f(x)) is given by
A. \(g(x)=\left(\frac{b-x^{1 / 3}}{a}\right)\) B. \(g(x)=\frac{1}{\left(a x^{2}+b\right)^{3}}\) C. \(g(x)=\left(a x^{2}+b\right)^{1 / 3}\) D. \(g(x)=\left(\frac{x^{1 / 3}-b}{a}\right)^{1 / 2}\)