Let f(x)=3x+4 and g(x)=2x+3. If h(x)=f(g(x)), then what is the inverse of h(x)?
f(g(x)) = 3 ( 2x + 3) + 4 = 6x + 13 = h(x)
Write
y = 6x + 13 get x by itself
(y - 13) / 6 = x "swap" x and y
y = (x -13) / 6 = h-1(x)