Hey there!
[tex](f-g)(x)[/tex] would be the same as [tex]f(x)-g(x)[/tex]
We know the following information:
[tex]f(x)=-4x^2-6x-1[/tex]
[tex]g(x)=-x^2-5x+3[/tex]
Now, let's calculate for [tex](f-g)(x)[/tex]
[tex](f-g)(x)[/tex]
= [tex]f(x)-g(x)[/tex]
= [tex](-4x^2-6x-1)-(-x^2-5x+3)[/tex]
= [tex]-3x^2-x-4[/tex]
Your answer is the last choice, or option D.
Have an awesome day! :)
~collinjun0827, Junior Moderator