Find the inverse function f−1(x)f^{-1}(x)f−1(x) for f(x)=2x+3x−1f(x) = \frac{2x+3}{x-1}f(x)=x−12x+3 where x≠1x \neq 1x=1.
f−1(x)=x+3x−2f^{-1}(x) = \frac{x+3}{x-2}f−1(x)=x−2x+3
f−1(x)=x−12x+3f^{-1}(x) = \frac{x-1}{2x+3}f−1(x)=2x+3x−1
f−1(x)=x+2x−3f^{-1}(x) = \frac{x+2}{x-3}f−1(x)=x−3x+2
f−1(x)=x+32x−1f^{-1}(x) = \frac{x+3}{2x-1}f−1(x)=2x−1x+3