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

Mar 8, 2018

$\therefore {f}^{-} 1 \left(x\right) = \frac{4}{x} - 4$ , it is a function.

#### Explanation:

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

$x = \frac{4}{y + 4} \mathmr{and} y + 4 = \frac{4}{x} \therefore y = \frac{4}{x} - 4$

:.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]}