Practice problem
Given functions p(x)=1xp(x)=\dfrac1{\sqrt x}p(x)=x1 and m(x)=x2−4m(x)=x^2-4m(x)=x2−4, what is the domain of m(p(x)) m(p(x))\:m(p(x))?
x≥0x\geq0x≥0
{x∣−∞<x<∞,x≠2∪x≠−2}\{x|-\infty<x<\infty,x\neq2\cup x\neq-2\}{x∣−∞<x<∞,x=2∪x=−2}
{x∣x ∈ R,x≠0}\{x|x\;\in\;\mathbb R, x\neq 0\}{x∣x∈R,x=0}
−2>x>2-2>x>2−2>x>2
Type a concept, like “slope” or “photosynthesis”.