JEE Main 202329 Jan, Morning shiftMathematicsHardSets, Relations and Functions168× since 2002Let f:R→Rf:R \to Rf:R→R be a function such that f(x)=x2+2x+1x2+1f(x) = {{{x^2} + 2x + 1} \over {{x^2} + 1}}f(x)=x2+1x2+2x+1. ThenAOption A. f(x)f(x)f(x) is many-one in (−∞,−1)( - \infty , - 1)(−∞,−1)BOption B. f(x)f(x)f(x) is one-one in (−∞,∞)( - \infty ,\infty )(−∞,∞)COption C. f(x)f(x)f(x) is one-one in [1,∞)[1,\infty )[1,∞) but not in (−∞,∞)( - \infty ,\infty )(−∞,∞)DOption D. f(x)f(x)f(x) is many-one in (1,∞)(1,\infty )(1,∞)CheckSkip · show solution
