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.
$\displaystyle f(x)=ax+b$
$\displaystyle x=\frac{1}{a}\left(f(x)-b\right)$
Therefore inverse function, $\displaystyle f^{-1}(x)=\frac{1}{a}\left(x-b\right)$
Hope this will help you.