Find the inverse function of f. f(x) = 1 x + 3 f −1(x) =

Question

Find the inverse function of f

f(x)= 1/x+3

f^-1(x)=

Answer 1

y = 1/(x+3)

x = 1/(y+3)

x(y+3) = 1

y+3 = 1/x

y = 1/x - 3

OR Did you mean y = 1/x + 3

In that case

x = 1/y + 3

x - 3 = 1/y

(x-3)y = 1

y = 1/(x-3)