Question

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

Answer 1

Answer:
`g(x)=(x-12)/(4)`

Explanation:

Alright, lets get started.

`f(x)=4x+12`

Suppose y is f(x), then

`y=4x+12`

For finding inverse function, lets interchange the variables x and y

`x=4y+12`

Subtracting 12 form both sides

`x-12=4y+12-12`

`x-12=4y`

Dividing 4 in both sides

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

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

Hence the inverse of f(x) is
`(x-12)/(4)`

`g(x)=(x-12)/(4)`..................Answer

Hope it will help :)