Let f: \mathbb{R} o \mathbb{R} be defined as f(x)=x-1 and g: \mathbb{R}-\{1,-1\} o \mathbb{R} be defined as {\g}( {\x})= { {\x}^2}/{ {\x}^2-1}. Then the function fog is : [26-Jun-2022-Shift-2]

Question

Let f: \mathbb{R} 	o \mathbb{R} be defined as f(x)=x-1 and g: \mathbb{R}-\{1,-1\} 	o \mathbb{R} be defined as {\g}( {\x})= { {\x}^2}/{ {\x}^2-1}. Then the function fog is : [26-Jun-2022-Shift-2]

Examsnet · Accepted Answer

Correct Answer is : neither one-one nor onto

JEE Main 26 June 2022 Shift 2 Solved Paper