### Instruction: Let $f(x)=3x+4$ and $g(x)=2x-3$.  If $h(x)=f(g(x))$, then what is the inverse of $h(x)$?### Response: We know that $h(x)=f(g(x))$, so let's substitute in the functions for $f(x)$ and $g(x)$.
So we get $h(x)=3(2x-3)+4$.
That simplifies to $6x-9+4$.
Which simplifies to $6x-5$.
Now we just need to swap $x$ and $y$ and solve for $y$.
That gives us $x=6y-5$.
Adding 5 to both sides gives us $x+5=6y$.
Dividing both sides by 6 gives us $y=(x+5)/6$.