Question

Which represents the inverse of the function f(x) = 4x?

h(x) = x + 4
h(x) = x - 4
h(x) = 2x
h(x) = IX
​

Answer 1

Explanation:

(1) = f(x) = 4x

`y = 4x\\x = 4y\\y = (x)/(4)\\f^(-1)(x) = (x)/(4)`

(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

`h^(-1)(x) = x - 4`

(3) h(x) = x - 4

y = x - 4

x = y - 4

y = x + 4

`h^(-1)(x) = x + 4`

(4) h(x) = 2x

y = 2x

x = 2y

y =
`(x)/(2)`

`h^(-1)(x) = (x)/(2)`