x-1x-2-and-gx-x-find-fgx-and-determine-its-domain-expressed-in-interval-notation

Question

Let f(x)=1x−2f(x)=\frac{1}{x-2} and g(x)=xg(x)=\sqrt{x}. Find the domain of (f∘g)(x)(f∘g)(x) expressed in interval notation.

Accepted Answer

[0,4)∪(4,∞)[0,4) ∪ (4,∞)

Answer

[0,∞)[0,∞)

Answer

(−∞,0)∪(4,∞)(-∞,0) ∪ (4,∞)

Answer

(0,4)∪(4,∞)(0,4) ∪ (4,∞)

Let f(x)=1x−2f(x)=\(\frac{1}{x-2}\) and g(x)=xg(x)=\(\sqrt{x}\). Find the domain of (f∘g)(x)(f∘g)(x) expressed in interval notation.