MathematicsMedium175×since 2002Q2728Let f:(0,1)→Rf:(0,1)\to\mathbb{R}f:(0,1)→R be a function defined f(x)=11−e−xf(x) = {1 \over {1 - {e^{ - x}}}}f(x)=1−e−x1, and g(x)=(f(−x)−f(x))g(x) = \left( {f( - x) - f(x)} \right)g(x)=(f(−x)−f(x)). Consider two statements (I) g is an increasing function in (0, 1) (II) g is one-one in (0, 1) Then,ABoth (I) and (II) are trueBNeither (I) nor (II) is trueCOnly (II) is trueDOnly (I) is trueCheck answerSkip