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

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Answer 1 · 2018-03-08T12:22:28

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

$y= 4/(x+4) ; f(x)$ 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]}

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