If f(x) = 1 / √(-x) then domain of fof is

Question

If \(f(x) =\frac{1}{\sqrt{-x}}\) then domain of fof is 

(a) (0, ∞) 

(b) (– ∞, 0) 

(c) {0} 

(d) {}

Answer 1

Answer : (d) {} 

f(x) = \(\frac{1}{\sqrt{-x}}\) 

∴ no domain of fof (x) exists 

Thus, the domain of fof (x) is the empty set.