Answer: [tex]y = \frac{1}{4}x-3[/tex]
Explanation:
To find the inverse of an equation, follow these steps:
- Replace every f(x) or y with x, and every x with y.
- Solve the equation for y
We are given the equation [tex]f(x) = 4x + 12[/tex] , so replace f(x) with x.
Then, replace x with y.
Your new equation:
[tex]x = 4y + 12[/tex]
Now, solve for y:
[tex]x = 4y + 12\\\\4y = x - 12\\\\y = \frac{1}{4}x-3[/tex]
This equation is the inverse of f(x), or g(x).
