if g(x) is the inverse of f(x) = 4x+12.
Explanation:
Given that,
f(x) = 4x + 12
To find g(x) Let f(x) = y
y = 4x+12
Subtract 12 from both side
y -12 = 4x + 12 - 12
y – 12 = 4x
Solve to find x


We know that from f(x) = y


From the question we know that g(x) is the inverse of f(x)
Thus
when g(x) is the inverse of f(x)=4x+12.