Question

Please help:) question and answer choices shown in the photo.

Answer 1

We are to find the inverse of the given function;

`\begin{gathered} y\text{ = -4 }\sqrt[]{x}\text{ -1} \\ y\text{ +1 = -4 }\sqrt[]{x} \\ \sqrt[]{x\text{ }}\text{ = }\frac{y\text{ + 1}}{-4} \\ \\ x\text{ = }((y+1)^2)/((-4)^2) \\ \\ x\text{ }=\text{ }\frac{(y+1)^2}{16^{}} \\ \\ f^(-1)(x)\text{ = }\frac{(x+1)^2}{16^{}}\text{ , x }\leq\text{ -1} \end{gathered}`