If f (x) = 3x+2, find f (f^-1 (14))

F (x) = 3x + 2x = 3f-1 (x) + 2x - 2 = 3f-1 (x) (x - 2) / 3 = f-1 (x) (14 - 2) / 3 = f-1 (14) 12/3 = f-1 (14) 4 = f-1 (14) f (f-1 (14)) = f (4) f (4) = 3 (4) + 2f (4) = 12 + 2f (4) = 14 A function and its inverse are inverse operations, like addition and subtraction. They undo each other. f (f-1 (x) = x