For this case we have the following function: [tex]g(x) = \left \{ {{x+4} \atop {2-x}} \right. [/tex] For each of the domains we will choose a value. We have then:
For −5 ≤ x ≤ −1 Let's choose the value of x = -3 Evaluating the function we have: [tex] g(x) = x+4
g(-3) = -3+4
g(-3) = 1[/tex] Answer: g(-3) = 1
For −1 < x ≤ 5: Let's choose the value of x = 0 Evaluating the function we have: [tex] g(x) = 2-x
g(0) = 2-0
g(0) = 2[/tex] Answer: g(0) = 2
