Question

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

Answer 1

Answer: $y = \frac{1}{4}x-3$

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:

$x = 4y + 12\\\\4y = x - 12\\\\y = \frac{1}{4}x-3$

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