If $f: R \rightarrow R$ and $g: R \rightarrow R$ are two functions defined by $f(x) = ax + b$ $(a \neq 0)$ for all $x \in R$ and $g(x) = cx^3 + d$ $(c \neq 0)$ for all $x \in R$,then $(f \circ g)^{-1}(x) =$
- A$\left( \frac{x - ad + b}{ac} \right)^{\frac{1}{2}}$
- B$\left( \frac{x + ad - b}{ac} \right)^{\frac{1}{3}}$
- C$\left( \frac{x - ad - b}{ac} \right)^{\frac{1}{3}}$
- D$\left( \frac{x + ad + b}{ac} \right)^{\frac{1}{3}}$
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