Answer:
1.875
Step-by-step explanation:
the average rate of change of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
here [a, b ] = [- 1, 3 ] , then
g(b) = g(3) = 2³ + 1 = 8 + 1 = 9
g(a) = g(- 1) = [tex]2^{-1}[/tex] + 1 = [tex]\frac{1}{2}[/tex] + 1 = 1.5
then
average rate of change = [tex]\frac{9-1.5}{3-(-1)}[/tex] = [tex]\frac{7.5}{4}[/tex] = 1.875
