Question

Given f(x) = 1/(x ) what is f-1(x)?

A) -x

B) 1/x

C) x

Answer 1

`f(x)=(1)/(x)\to y=(1)/(x)\\\\\text{exchange x with y and solve for y}\\\\x=(1)/(y)\\\\(x)/(1)=(1)/(y)\qquad|\text{cross multiply}\\\\xy=1\qquad|\text{divide both sides by x}\\\\y=(1)/(x)\\\\Answer:\ B)\ f^(-1)(x)=(1)/(x)`