### Instruction: Let $f(x)=7x+5$ and $g(x)=x-1$.  If $h(x)=f(g(x))$, then what is the inverse of $h(x)$?### Response: To find the inverse of a function, I need to switch the roles of x and y and then solve for y in terms of x.
So first, I'll write h(x) in terms of y: y = f(g(x)) = f(x-1) = 7(x-1) + 5 = 7x - 2.
Next, I'll swap x and y: x = 7y - 2.
Then I'll solve for y: y = (x + 2)/7.
This is the inverse of h(x), so I'll write it as h^(-1)(x) = (x + 2)/7.