Question

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

Answer 1

`\large\boxed{(f-g)(x)=2x-3}`

Explanation:

`(f-g)(x)=f(x)-g(x)\\\\f(x)=3x-1,\ g(x)=x+2\\\\\text{substitute:}\\\\(f-g)(x)=(3x-1)-(x+2)\\\\=3x-1-x-2\qquad\text{combine like terms}\\\\=(3x-x)+(-1-2)\\\\=2x-3`