Answer:
78
Step-by-step explanation:
You use the formula
[tex] \frac{f(b) - f(a)}{b - a} [/tex]
with a=2 and b=5 plug it in to the formula
[tex] \frac{f(5) - f(2)}{5 - 2} [/tex]
find the values
[tex]f(5) = {3}^{5} + 4 = 247 [/tex]
[tex]f(2) = {3}^{2 } + 4 = 13[/tex]
put it all together
[tex] \frac{247 - 13}{5 - 2} = \frac{234}{3} = 78[/tex]
