Afunction is given:

f(x) = 3x + 12

a. determine the inverse of this function and name it g(x).
b. use composite functions to show that these functions are inverses.
c. evaluate f(g(– explain: what is the domain?

We are given the function to name as f(x) equal to 3x + 12 and we are asked to find the inverse of the function and name it g(x). first step is to extract x, this is equal to (y - 12)/ 3 = x; then exchange the places of x and y, that is (x- 12)/3 = y = g(x). we evaluate f(g(-2)). f(g(x)) is equal to  3*((x- 12)/3) + 12 = x - 12 + 12 = x.   The domain is from negative infinity to positive infinity