# Functions nd Graphs

• Mar 1st 2010, 12:29 AM
Anemori
Functions nd Graphs
Hello! I have a crazy instructor and gave me this problems.

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

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

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

3.) Show $\displaystyle y= \frac {-b \pm \sqrt {4ax+b^2-4ac}} {2a}$ 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!
• Mar 1st 2010, 02:10 AM
HallsofIvy
Do you know what $\displaystyle f^{-1}(x)$ and $\displaystyle g^{-1}(x)$ mean? If not you had better look it up in your textbook.
• Mar 1st 2010, 02:36 AM
Anemori
Quote:

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

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

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