Question

If f(x)=2x^2+2 and g(×)=x^2-1 find (f-g)(x)

A)x^2+1

B)x^2+3

C)3x^2+3

D)3x^2+1

Answer 1

$f(x)=2x^2+2\qquad\qquad g(x)=x^2-1\\\\\\ \big(f-g\big)(x)=f(x)-g(x)=(2x^2+2)-(x^2-1)=2x^2+2-x^2+1=\\\\=\boxed{x^2+3}$

Answer B)