Question

If f(x) =3x-2 and g(x) =2x+1 find (f-g) (x)​

Answer 1

`\large\boxed{(f-g)(x)=x-3}`

Explanation:

`(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`