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)= 1 (simplify your answer.) (c) (f - g)(7)= (simplify your answer.)

Explanation:

Step1: Recall function - operation rule

$(f - g)(x)=f(x)-g(x)$.

Step2: Find $f(7)$ and $g(7)$ from the graph

From the graph, when $x = 7$, $f(7)=2$ and $g(7)=1$.

Step3: Calculate $(f - g)(7)$

$(f - g)(7)=f(7)-g(7)=2 - 1$.

Answer:

$1$