Given f(x)= x^2-4 and g(x)= x^1/2, what is the domain of (g 0 f)(x)?
you want g(f(x))
= g(x^2 - 4)
= (x^2 - 4)^(1/2) or √(x^2 -4)
which is defined for x ≤ -2 OR x ≥ 2
= g(x^2 - 4)
= (x^2 - 4)^(1/2) or √(x^2 -4)
which is defined for x ≤ -2 OR x ≥ 2