SOLUTION: A function is given below. Determine the average rate of change of the function between x = 2 and x = 2 + h. Function is g(x)= -10/x

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Question 758603: A function is given below. Determine the average rate of change of the function between x = 2 and x = 2 + h.

Function is g(x)= -10/x

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A function is given below. Determine the average rate of change of the function between x = 2 and x = 2 + h.
Function is g(x)= -10/x
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average = [f(h+2)-f(2)]/h
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f(h+2) = (-10/(h+2))
f(2) = -10/2 = -5
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[f(h+2)-f(2) = [[-10/(h+2)]+5] = [-10+5h+10]/(h+2)
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= 5h/(h+2)
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So, average = [5h/(h+2)]/h = 5/(h+2)
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Cheers,
Stan H.
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