Question

How do you find the inverse of `f(x) = x / (x + 8)`?

Answer 1

Use the definition of the inverse function to find `f^(-1)(x)=(8x)/(1-x)`

Explanation:

By definition, `y=f^(-1)(x)ifff(y)=x`
`iffy/(y+8)=x`
`iffy=xy+8x`
`iffy=(8x)/(1-x)`