Answer:
[tex]\large\boxed{(f-g)(x)=x-3}[/tex]
Step-by-step explanation:
[tex](f-g)(x)=f(x)-g(x)\\\\\text{We have}\ f(x)=3x-2\ \text{and}\ g(x)=2x+1.\\\\\text{Substitute}\\\\(f-g)(x)=(3x-2)-(2x+1)=3x-2-2x-1\\\\\text{combine like terms}\\\\(f-g)(x)=(3x-2x)+(-2-1)=x-3[/tex]
