Answer:
Step-by-step explanation:
(1) = f(x) = 4x
[tex]y = 4x\\x = 4y\\y = \frac{x}{4}\\f^{-1}(x) = \frac{x}{4}[/tex]
(2) h(x) = x + 4
y = x + 4
Replace x with y and vice versa:
x = y + 4
And then solve for 'y':
y = x - 4
[tex]h^{-1}(x) = x - 4[/tex]
(3) h(x) = x - 4
y = x - 4
x = y - 4
y = x + 4
[tex]h^{-1}(x) = x + 4[/tex]
(4) h(x) = 2x
y = 2x
x = 2y
y = [tex]\frac{x}{2}[/tex]
[tex]h^{-1}(x) = \frac{x}{2}[/tex]
