Question

$find \: the \: domain \: of \: the \: real \\ \: function \: \\ f(x) = \sqrt{x {}^{2} - 4}$
i got the answer as:-
(-infinity,2}
but in oswal they gave this answer:-
(-infinity,-2} U {2,infinity)

Is my answer correct ??​

Answer 1

Answer:

(∞,-2)∪(2,∞)

Step-by-step explanation:

f(x)≥0

x²-4≥0

(x+2)(x-2)≥0

x≤-2 and x≥2

(∞,-2)∪(2,∞)