Question

How do I solve and what would the answer be?

Answer 1

Given the function:

`f(x)\text{ = }\frac{2}{x\text{ - 5}}`

To find the inverse function:

1. Invert the variables, as follows:

`x\text{ = }(2)/(y-5)`

2. Solve for y:

`\begin{gathered} x\text{ = }(2)/(y-5) \\ \\ y-5=(2)/(x) \\ \\ f^(-1)(x)\text{ = }(2+5x)/(x) \end{gathered}`