# Math Help - verifying a function is one to one and finding inverse

1. ## verifying a function is one to one and finding inverse

I need help with this. Determine whether the function is one-to-one. If it is, find its inverse function. (If an answer does not exist, enter DNE.)

2. Originally Posted by sydewayzlocc
I need help with this. Determine whether the function is one-to-one. If it is, find its inverse function. (If an answer does not exist, enter DNE.)
Dear sydewayzlocc,

This is an equation of a straight line. Therefore the function is one-to-one.

$f(x)=ax+b$

$x=\frac{1}{a}\left(f(x)-b\right)$

Therefore inverse function, $f^{-1}(x)=\frac{1}{a}\left(x-b\right)$