MathematicsEasy110×since 2002Q3889Let ƒ : (1, 3) →\to→ R be a function defined by f(x)=x[x]1+x2f(x) = {{x\left[ x \right]} \over {1 + {x^2}}}f(x)=1+x2x[x] , where [x] denotes the greatest integer ≤\le≤ x. Then the range of ƒ isA(25,12)∪(34,45]\left( {{2 \over 5},{1 \over 2}} \right) \cup \left( {{3 \over 4},{4 \over 5}} \right](52,21)∪(43,54]B(35,45)\left( {{3 \over 5},{4 \over 5}} \right)(53,54)C(25,45]\left( {{2 \over 5},{4 \over 5}} \right](52,54]D(25,35]∪(34,45)\left( {{2 \over 5},{3 \over 5}} \right] \cup \left( {{3 \over 4},{4 \over 5}} \right)(52,53]∪(43,54)Check answerSkip