UPSC NDA Math Model Paper 6

If the denominator is not equal to zero, then only the function will be defined for the values.
For the function f(x)=

7x2−39x+9

2x2−3x−35

2x2−3x−35≠0
∴(2x+7)(x−5)≠0
∴x≠−7∕2,5
Therefore, the domain of the function is: R ~ {5, -7/2}