JEE Main & Advanced
Mathematics
Functions
Question Bank
Numerical Value Type Questions - Relations and Functions-II
question_answer
Let R be the set of real numbers and the functions \[f:R\to R\] and \[g:R\to R\] be defined by \[f\left( x \right)={{x}^{2}}+2x-3\]and \[g\left( x \right)=x+1.\] If \[f\left( g\left( x \right) \right)=g\left( f\left( x \right) \right)\] for some value of x, then \[|x|\] is