QuestionThe function $f(x)=x^{3}-3$ is one-to-one. a. Find an equation for $\mathrm{f}^{-1}$, the inverse function. b. Verify that your equation is correct by showing that $f\left(f^{-1}(x)\right)=x$ and $f^{-1}(f(x))=x$. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) A. $f^{-1}(x)=$ $\square$ , for $x \geq$ $\square$ B. $f^{-1}(x)=\sqrt[3]{x+3}$, for all $x$ C. $f^{-1}(x)=$ $\square$ , for $\mathrm{x} \leq$ $\square$ D. $f^{-1}(x)=$ $\square$ , for $x \neq$ $\square$ b. Verify that the equation is correct. $f\left(f^{-1}(x)\right)=f$ $\square$ $$\begin{aligned} f^{-1}(f(x)) & =f^{-1}(\square) \\ & =\square \end{aligned}$$ and $\quad \begin{aligned} f^{-1}(f(x)) & = \\ & =\end{aligned}$
Substitute. Simplify.