Question

subtractf(x) =-5x²+x-2g(x) = -3x²+3x+9

Answer 1

We are given the following functions:

$\begin{gathered} f\mleft(x\mright)=-5x^2+x-2 \\ g\mleft(x\mright)=-3x^2+3x+9​ \end{gathered}$

we will find their difference.

$f(x)-g(x)=-5x^2+x-2-(-3x^2+3x+9​)$

First, we will change the sign of the terms inside the parenthesis, since it is preceded by a minus sign:

$=-5x^2+x-2+3x^2-3x-9​$

Now we will associate like terms, that is terms that have the same variable elevated to the same exponentÑ