The domain of the function f(x) =\(\sqrt{|x|}\) is (a) x ∈ (– �

1.	The domain of the function f(x) =\(\sqrt{\|x\|}\) is (a) x ∈ (– ∞, ∞) (b) x ∈ (0, ∞) (c) x ∈ (– ∞, 0) ∪ (0, ∞) (d) x ∈ [0, ∞)
Answer» Answer : (a) = x ∈ (– ∞, ∞) ∵ \| x \| ≥ 0 ∀ x ∈R ∴ \(\sqrt{\|x\|}\) is defined for all real values of x. Hence the domain of \(\sqrt{\|x\|}\) is R or (– ∞, ∞)

The domain of the function f(x) =\(\sqrt{|x|}\) is (a) x ∈ (– ∞, ∞) (b) x ∈ (0, ∞) (c) x ∈ (– ∞, 0) ∪ (0, ∞) (d) x ∈ [0, ∞)

Answer»

Answer : (a) = x ∈ (– ∞, ∞)

∵ | x | ≥ 0 ∀ x ∈R

∴ \(\sqrt{|x|}\) is defined for all real values of x.

Hence the domain of \(\sqrt{|x|}\) is R or (– ∞, ∞)