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!