Let $f(x) = 2x^2 + 3x - 9,$ $g(x) = 5x + 11,$ and $h(x) = -3x^2 + 1.$ Find $f(x) - g(x) + h(x).$
\(f(x) - g(x) + h(x) = (2x^2 + 3x - 9) - (5x + 11) + (-3x^2+1)\)
\(\boxed{-x^2-2x-19}\)