Question

the graph of two functions, f and g, is illustrated below. use the graph to answer parts (a) through (f).
(a) $(f + g)(2) = 3$
(simplify your answer.)
(b) $(f + g)(4) = -5$
(simplify your answer.)
(c) $(f - g)(6) = \square$
(simplify your answer.)

Explanation:

Step1: Find f(6) from graph

From the red line (f), at $x=6$, $f(6)=-5$

Step2: Find g(6) from graph

From the blue curve (g), at $x=6$, $g(6)=9$

Step3: Compute (f - g)(6)

Use formula $(f-g)(x)=f(x)-g(x)$

$$\begin{align*} (f-g)(6)&=f(6)-g(6)\\ &=-5 - 9 \end{align*}$$

Answer:

$-14$