MathematicsMedium110×since 2002Q3818Let f(x) = e^x – x and g(x) = x² – x, ∀\forall∀ x ∈\in∈ R. Then the set of all x ∈\in∈ R, where the function h(x) = (fog) (x) is increasing, is :A[0, ∞\infty∞)B[−1,−12]∪[12,∞)\left[ { - 1, - {1 \over 2}} \right] \cup \left[ {{1 \over 2},\infty } \right)[−1,−21]∪[21,∞)C[−12,0]∪[1,∞)\left[ { - {1 \over 2},0} \right] \cup \left[ {1,\infty } \right)[−21,0]∪[1,∞)D[0,12]∪[1,∞)\left[ {0,{1 \over 2}} \right] \cup \left[ {1,\infty } \right)[0,21]∪[1,∞)Check answerSkip