Texts: Use the Inverse Function Property to show that f(x) = 2x - 6 is the inverse of g(x) = 2x + 6. (Simplify your answers completely at each step.)
f(g(x)) = 2(g(x)) - 6 = 2(2x + 6) - 6 = 4x + 12 - 6 = 4x + 6 = x, for all x ≠ 0
g(f(x)) = 2(f(x)) + 6 = 2(2x - 6) + 6 = 4x - 12 + 6 = 4x - 6 = x, for all x ≠ -6