Question

For f (c)=2x+1 and g(x)=x^2 - 7 find (f-g)(x)

Answer 1

Answer:

$\large\boxed{D.\ -x^2+2x+8}$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)\\\\f(x)=2x+1,\ g(x)=x^2-7\\\\\text{substitute:}\\\\(f-g)(x)=(2x+1)-(x^2-7)=2x+1-x^2-(-7)=2x+1-x^2+7\\\\=-x^2+2x+(1+7)=-x^2+2x+8$