UPSC NDA Math Model Paper 7

Observe that the given function is in the form of numerator and denominator. The function will be well defined for all non zero values of the denominator.
Therefore, x−2‌>0 that implies that x‌>2.
Similarly square root function is well defined for all non-negative values.
Therefore, x−2>0 that implies x>2 .
Thus, domain of the given function is (2,‌∞) .