Question

Find (f + g)(x), if f(x) = - 5x2 + 6 and g(x) = x2 - 6.

Answer 1

$(f+g)(x)=-4x^{2}$

1) Let's work on this question of the algebra of functions by adding them up:

$\begin{gathered} f(x)=-5x^2+6 \\ g(x)=x^2-6 \\ -------- \\ (f+g)(x)=-4x^2 \end{gathered}$

Note that we can only add/subtract like terms.

2) And that is the answer.