# Math Help - functions

1. ## functions

if f:R-R is given by f(x)=(x+3)/2 and g:R-R given by g(x)=2x-3 is f(inverse)=g

2. Well, swap the $\displaystyle x$ and $\displaystyle y$ in $\displaystyle f(x)$, and see if you can rearrange it to get $\displaystyle g(x)$.

3. Or more fundamentally, use the definition of "inverse function". Are f(g(x))= x and g(f(x))= x for all x?