Practice problem
Given functions q(x)=1xq(x)=\dfrac1{\sqrt x}q(x)=x1 and h(x)=x2−9h(x)=x^2-9h(x)=x2−9, what is the domain of q(h(x)) q(h(x))\:q(h(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}
−3>x>3-3>x>3−3>x>3
{x∣x>0,x≠2}\{x|x>0,x\neq2\}{x∣x>0,x=2}
Type a concept, like “slope” or “photosynthesis”.