Given:
[tex]\begin{gathered} f(x)=7x^3-4x^2-x+6 \\ g(x)=8x^2-3x+6 \end{gathered}[/tex]Required:
To find (f-g)(x).
Explanation:
Let,
[tex](f-g)(x)=f(x)-g(x)[/tex]Now
[tex]\begin{gathered} (f-g)(x)=7x^3-4x^2-x+6-(8x^2-3x+6) \\ \\ =7x^3-4x^2-8x^2-x+3x+6-6 \\ \\ =7x^3-12x^2+2x \end{gathered}[/tex]Final Answer:
[tex](f-g)(x)=7x^3-12x^2+2x[/tex]