Find the domain of the real function f(x) = √x^2 − 4

Question

Find the domain of the real function f(x) =\(\sqrt{x^2-4}\)

Answer 1

Given, f (x) = \(\sqrt{x^2-4}\)

f is real only when x² – 4 ≥ 0, 

∴ Domain of f = (– ∞, – 2) ∪ (2, ∞)