Question

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

Answer 1

Answer:
`y = (1)/(4)x-3`

Step-by-step explanation:

To find the inverse of an equation, follow these steps:

1. Replace every f(x) or y with x, and every x with y.
2. Solve the equation for y

We are given the equation
`f(x) = 4x + 12` , so replace f(x) with x.

Then, replace x with y.

Your new equation:

`x = 4y + 12`

Now, solve for y:

`x = 4y + 12\\\\4y = x - 12\\\\y = (1)/(4)x-3`

This equation is the inverse of f(x), or g(x).