# How do you find (g-f)(x) given g(x)=-x^2-1-2x and f(x)=x+5?

We know that $\left(g - f\right) \left(x\right) = g \left(x\right) - f \left(x\right)$.
$\left(g - f\right) \left(x\right) = g \left(x\right) - f \left(x\right) = - {x}^{2} - 1 - 2 x - x - 5 =$
$- {x}^{2} - 3 x - 6$
so $\left(g - f\right) \left(x\right) = - {x}^{2} - 3 x - 6$