Explanation:
To find F^-1(x), we need to solve for x in terms of f(x) using the given equation for f(x):
f(x) = 4(3x+2)
First, we can simplify the expression inside the parentheses:
f(x) = 12x + 8
Next, we can solve for x by isolating it on one side of the equation:
f(x) - 8 = 12x
(x is isolated)
x = (f(x) - 8) / 12
Therefore, F^-1(x) = (x - 8) / 12.