3/x + 1. If x > 0, what is the inverse function of f(x)

Answer:
Step-by-step explanation:
let f(x)=y
[tex]y=\frac{3}{x} +1\\ flip~x~and~y\\ x=\frac{3}{y} +1\\ \frac{3}{y} =x-1\\ \frac{y}{3} =\frac{1}{x-1} \\ y=\frac{3}{x-1} \\ x\neq 1\\ f^{-1}(x)=\frac{3}{x-1} [/tex]