The function h - fg is given by:
[tex]\begin{gathered} (h-fg)(x)=h(x)-(fg)(x) \\ =h(x)-f(x)\cdot g(x) \end{gathered}[/tex]
Therefore,
[tex]\begin{gathered} (h-fg)(x)=(x^2-6x+9)-(x-3)(2x-6) \\ =(x-3)^2-2(x-3)^2 \\ =-(x-3)^2 \end{gathered}[/tex]
Therefore,
[tex](h-fg)(-1)=-(-1-3)^2=-(-4)^2=-16[/tex]
Therefore,
(h - fg)(-1) = -16
