[tex]\bf h(x)=\sqrt{x^2+x+3}\implies h(x+2)=\sqrt{(x+2)^2+(x+2)+3} \\\\\\ h(x+2)=\sqrt{\stackrel{FOIL}{(x^2+2x+4)}+x+2+3}\implies h(x+2)=\sqrt{x^2+3x=9}[/tex]