Question

What represents the inverse of the function f(x)=4x

Answer 1

`(x)/(4)`

Explanation:

The given function is

f(x) = 4x

As we know

f(x) = y, which implies x=
`f^(-1) (y)`

Therefore,

y = 4x

x =
`(y)/(4)`

as x=
`f^(-1) (y)`

So,

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

replacing y by x in the above expression

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

So our inverse function is
`(x)/(4)`