The following functions are onetoone Find the inverse for ea

The following functions are one-to-one. Find the inverse for each. a. f (x) = 4x + 5 b. g (x) = 5/x - 1 f^-1 (x) = g^-1 (x) =

Solution

(a) Let f(x) = y

then, y = 4x+5

(y-5)/4 = x

Hence f^-1x = (x-5)/4

(b) again let g(x) = y

then y = 5/(x-1)

x-1 = 5/y

x = 5/y + 1

Hence g^-1x = 5/x + 1