Question

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

Answer 1

see explanation

Explanation:

let f(x) = y, then

y = 4x + 12

To obtain the inverse g(x), rearrange making x the subject

4x + 12 = y ( subtract 12 from both sides )

4x = y - 12 ( divide both sides by 4 )

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

Change y back into terms of x

g(x) =
`(x-12)/(4)` ← inverse of f(x)