## anonymous 5 years ago Can somone help me Let f(x)=2x+2,g(x)=x^2 ,and h(x)=3/x-2. State the domain od the operation. h(g(x))

$h(g(x))=h(x^2)=\frac{3}{x^2-2}$ you may not divide by zero, so set $x^2-2=0$ solve for x to get $x=\pm \sqrt{2}$ so domain is all real numbers except $x=\pm \sqrt{2}$