Question

If mc004-1. is the inverse of mc004-2. and f (x) = 4 x + 12, what is mc004-4.? g (x) = 12 x + 4 g (x) = one-fourth x minus 12 g (x) = x minus 3 g (x) = one-fourth x minus 3

Answer 1

To determine the inverse function g(x) of the function f(x) = 4x + 12, swap x and f(x) and solve for x to find that g(x) = (1/4)x - 3.

Step-by-step explanation:

To find the function g(x) that is the inverse of f(x) where f(x) = 4x + 12, we need to swap the roles of x and f(x) and solve for x. Below are the steps to find the inverse function:

1. Replace f(x) with y: y = 4x + 12.
2. Swap x and y: x = 4y + 12.
3. Solve for y: y = ⅔(x - 12).

Thus, the inverse function g(x) is g(x) = ⅔x - 3.