Question

If g(x) is the inverse of f(x) and f(x) = 4x + 12 , what is g(x)

Answer 1

Find the first derivative and evaluate at f(x)f(x).ggand then found out what the answer is

Answer 2

`g(x)=(x)/(4) -3`

Explanation:

Ve have the function:

`f(x)=y=4x+12`

The first step to find the inverse is to exchange the variables, that is where we see
`x` put
`y` and where we see
`y` put
`x`:

`x=4y+12`

And we clear for the variable
`y`:

`x-12=4y\\(x-12)/(4) =y\\(x)/(4) -3=y`

This would be the inverse of the function (since we know that
`y=f(x)`), and according to the problem the inverse of
`f(x)` is
`g(x)`, so:

`g(x)=(x)/(4) -3`