# Math Help - Functions nd Graphs

1. ## Functions nd Graphs

Hello! I have a crazy instructor and gave me this problems.

A) Consider f(x)= mx+k, $g(x) = \frac{rx +s}{px+q}$, and h(x) = ax^2+bx+c.

1.) True or False? $f(x)||f^-1(x)$

2.) Show $g^-1(x) = \frac {-qx +s}{px -r}$ true or false? The points of intersection between g(x) and $g^-1(x)$ are on the line y=x.

3.) Show $y= \frac {-b \pm \sqrt {4ax+b^2-4ac}} {2a}$ is the graph of the inverse relation for h(x).

Honestly I don't have Idea how am I going to solve this problem. please help! Thank you!

2. Do you know what $f^{-1}(x)$ and $g^{-1}(x)$ mean? If not you had better look it up in your textbook.

3. Originally Posted by HallsofIvy
Do you know what $f^{-1}(x)$ and $g^{-1}(x)$ mean? If not you had better look it up in your textbook.

$f^{-1}(x)$ and $g^{-1}(x)$

those are the inverse function of f(x) and g(x)