determine the inverse of g(x)=12-4x
To find the inverse of a function, we need to switch the roles of x and y and solve for y.
Given the function g(x) = 12 - 4x, let's change it to y = 12 - 4x.
Now, switch x and y: x = 12 - 4y.
Now, solve for y:
x = 12 - 4y
x - 12 = -4y
-4y = x - 12
y = (x - 12) / -4
y = (1 / -4)x - 3
Therefore, the inverse of g(x) = 12 - 4x is g^(-1)(x) = (1 / -4)x - 3.