JEE Main & Advanced
Mathematics
Functions
Question Bank
Numerical Value Type Questions - Relations and Functions-II
question_answer
Let \[f:R-\left\{ \frac{5}{4} \right\}\to R\] be a function defined as \[f\left( x \right)=\frac{5x}{4x+5}.\]The inverse of f is the map g: Range \[f\to R-\left\{ \frac{5}{4} \right\}\] given by \[{{f}^{-1}}(x)=\frac{ax}{a+by},\]then the value of \[a+b\] is