1. [10 marks] Consider the following function: f(x) = a (exp(bx (3)) + d where a > 0,];- > O and c and d are constants. [a] What are the dom(f) and ran(f)? [2 marks] [b] Find f '1 (x), the inverse function. [4- marks] [c] Show that (f o f'1)(x) = x for every x E dom(f_1), and (f'1 o f)(x) = x for every x E dom(f). [4- marks]