UPSC NDA Math Model Paper 9

Given: f(x)=

3

2x−4

If we put x = 2, f(x) = 3/0
So, given f(x) defined at all values except x = 2
∴ Domain of f(x) is (-∞, ∞) – {2}
It can also be written as, (-∞, 2) ∪ (2, ∞)
Hence, option (4) is correct