Question

the graphs of two functions, f and g, are illustrated. use the graph to answer parts (a) through (f). (a) (f + g)(3)= 7 (simplify your answer.) (b) (f + g)(5)= (simplify your answer.)

Explanation:

Step1: Recall the definition of function - sum

By the definition of \((f + g)(x)=f(x)+g(x)\).

Step2: Find \(f(5)\) and \(g(5)\) from the graph

From the graph, when \(x = 5\), \(f(5)=4\) and \(g(5)=- 3\).

Step3: Calculate \((f + g)(5)\)

\((f + g)(5)=f(5)+g(5)=4+( - 3)=1\)

Answer:

1