Question

If f(x) =x/2 -3 and g(x) = 4x^2+ x-4, find( f + g )(x)

Answer 1

$f(x)=\dfrac{x}{2}-3=\dfrac{1}{2}x-3\\\\g(x)=4x^2+x-4\\\\(f+g)(x)=f(x)+g(x)\\\\(f+g)(x)=\left(\dfrac{1}{2}x-3\right)+(4x^2+x-4)=4x^2+1\dfrac{1}{2}x-7$