Answer:
A
Step-by-step explanation:
We have the two functions:
[tex]f(x)=3x^2-2x\text{ and } g(x)=9x^2-x+7\\[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Hence, by substitution:
[tex]=(3x^2-2x)-(9x^2-x+7)[/tex]
Distribute:
[tex]=(3x^2-2x)+(-9x^2+x-7)[/tex]
Rearrange:
[tex]=(3x^2-9x^2)+(-2x+x)+(-7)[/tex]
Combine like terms:
[tex]=-6x^2-x-7[/tex]
Hence, our answer is A.
