Question

If f(x) = x/2 - 3 and g(x) = 3x^2 + x - 6, find (f+g)(x)

Answer 1

$(f+g)(x) = f(x) +g(x)$

$(f+g)(x) = \left(\dfrac{x}{2}-3\right)+\left(3x^2+x-6\right)$

$(f+g)(x) =3x^2 +\dfrac{3x}{2}-9$