Question

How do you find the inverse of `y=4/(x+4)` and is it a function?

Answer 1

`:.f^-1(x)= 4/x-4` , it is a function.

Explanation:

`y= 4/(x+4) ; f(x)` is undefined at `x=-4`

`x= 4/(y+4) or y+4= 4/x :. y= 4/x-4`

`:.f^-1(x)= 4/x-4; f^-1(x)` is undefined at `x=0`

In graph , any vertical line does not cross the graph in more than

one point, so it is a function.

graph{4/x-4 [-40, 40, -20, 20]}