find the average of change of function g(x) from x=-1 to x=2 which equals to 3

To find the average rate of change of a function g(x) from x = -1 to x = 2, we can use the formula:

Average rate of change = (g(2) - g(-1)) / (2 - (-1))

Given that the average rate of change is 3, we can set up the equation as:

3 = (g(2) - g(-1)) / 3

Multiplying both sides by 3, we get:

9 = g(2) - g(-1)

This means that the difference between g(2) and g(-1) is 9. If we divide this difference by 3 (the change in x), we get the average rate of change:

(9) / (3) = 3

Therefore, the average rate of change of function g(x) from x = -1 to x = 2 is indeed 3.