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 p(m(x)) p(m(x))\:p(m(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}
−2>x>2-2>x>2−2>x>2
{x∣x>0,x≠2}\{x|x>0,x\neq2\}{x∣x>0,x=2}
Type a concept, like “slope” or “photosynthesis”.
