Let $f: R-\left\{\frac{3}{5}\right\} → R$ be defined by $f(x)=\frac{3 x+2}{5 x-3}$, then
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $f^{-1}(x)=f(x)$
$y=\frac{3x+2}{5x-3}⇒5xy-3y=3x+2$
So $5xy-3x=3y+2$
$x=\frac{3y+2}{5y-3}$
So $f^{-1}(x)=\frac{3x+2}{5x-3}$
$⇒f^{-1}(x)=f(x)$