Please answer and show work thanks.

1. f (x ) = V2x - 3 for any real number x. a.) Find f-1(x) b.) Prove f (x) and f -1(x) are inverse functions 2.) Find the inverse of the given functions. a. f (x) =(x-3) +1 b. r(x) =--4 X More on back ^ ^ 4.) The function y = f (x) has an inverse function y =f (x). If f (a) =-b then which of the following must true? (1) f ( -b ) = -a ( 3 ) f-' ( - b ) = a ( 4 ) f-' ( b ) = - a