1. ## Inverse Function

I am having trouble with this problem:

Show that, for every value of a, the function

f(x)= a + (1/(x-a))

is its own inverse.

2. $y= a + \frac{1}{x-a}$
Switch x and y and solve for y to find inverse
$x= a + \frac{1}{y-a}$
$x - a = \frac{1}{y-a}$
$y - a = \frac{1}{x-a}$
$y = a + \frac{1}{x-a}$