ANSWER:
B. (f - g) (x) = 3x³ + 8x² - 9x + 2
STEP-BY-STEP EXPLANATION:
We have the following functions:
[tex]\begin{gathered} f\left(x\right)=3x^3+8x^2-7x-4, \\ \\ g\left(x\right)=2x-6 \end{gathered}[/tex]
We perform the operation to obtain the result:
[tex]\begin{gathered} \left(f-g\right)\left(x\right)=3x^3+8x^2-7x-4-\left(2x-6\right) \\ \\ \left(f-g\right)\left(x\right)=3x^3+8x^2-7x-4-2x+6 \\ \\ \left(f-g\right)\left(x\right)=3x^3+8x^2-7x-2x-4+6 \\ \\ \left(f-g\right)\left(x\right)=3x^3+8x^2-9x+2 \end{gathered}[/tex]
Therefore, the correct answer is B. (f - g) (x) = 3x³ + 8x² - 9x + 2
