Question

For f(x)=3x+1 and g(x)=x•x-6,find (f - g)(x)

Answer 1

`\large\boxed{(f-g)(x)=-x^2+3x+7}`

Explanation:

`(f-g)(x)=f(x)-g(x)\\\\f(x)=3x+1,\ g(x)=x^2-6\\\\(f-g)(x)=(3x+1)-(x^2-6)=3x+1-x^2+6=-x^2+3x+7`