QuestionThe function $f(x)=\frac{x+24}{x-6}$ is one-to-one. For the function, a. Find an equation for $f^{-1}(x)$, 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, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) A. $f^{-1}(x)=$ $\square$ , for $\mathrm{x} \neq$ $\square$ B. $f^{-1}(x)=$ $\square$ , for $x \leq$ $\square$ C. $f^{-1}(x)=$ $\square$ , for $x \geq$ $\square$ D. $f^{-1}(x)=$ $\square$ , for all $x$