Question

How do you find the inverse of `y=1/(x-3)`?

Answer 1

The inverse of a function is the image of the function reflected over the line y=x. To find the equation of the inverse function you must transform the x's into y's and the y into an x and solve for y.

Explanation:

y = `1/(x -3)`

x = `1 / (y - 3)`

x(y - 3) = 1

y - 3 = `1/x`

y = `(1 + 3x) / x`