We know that [tex]g(x) = x^2-3[/tex] and [tex]h(x) = 2x+5[/tex]. So, [tex]h(g(x))[/tex] is equal to [tex]h(x^2-3)[/tex], which is [tex]2(x^2-3)+5[/tex]. This can be simplified to [tex]2x^2-1[/tex].
