Given:
Function is
[tex]\begin{gathered} f(x)=2x^3+7x^2-4x-5 \\ g(x)=3x-2 \end{gathered}[/tex]Required:
Find (f - g)(x)?
Explanation:
We know that
[tex](f-g)(x)=f(x)-g(x)[/tex]Now,
[tex]\begin{gathered} (f-g)(x)=f(x)-g(x) \\ =2x^3+7x^2-4x-5-3x+2 \\ =2x^3+7x^2-7x-3 \end{gathered}[/tex]Answer:
Hence, option A is correct.