# Chapter 7 - Functions and Graphs - 7.4 The Algebra of Functions - 7.4 Exercise Set - Page 476: 6

sum

#### Work Step by Step

RECALL: $(f+g)(x) = f(x) + g(x)$. This means the value of $(f+g)(x)$ is equal to the sum of the values of $f(x)$ and $g(x)$. Thus, in the graph of $(f+g)(x)$, the height of $(f+g)(a)$ is equal to the sum of the heights of $f(a)$ and $g(a)$. Therefore, the answer is: sum

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