SOLUTION: function g(x) = -1/x. Determine the average rate of change of the function between x = 3 and x = 3 + h. I really am struggling with this and another problem. But the rest of my

Algebra ->  Rational-functions -> SOLUTION: function g(x) = -1/x. Determine the average rate of change of the function between x = 3 and x = 3 + h. I really am struggling with this and another problem. But the rest of my       Log On


   

Question 709756: function g(x) = -1/x. Determine the average rate of change of the function between x = 3 and x = 3 + h.
I really am struggling with this and another problem. But the rest of my problems I flew through easily. I feel I am having problems with the (3+h) part of this problem, because when x= "3" or just "h" I get it.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
function g(x) = -1/x. Determine the average rate of change of the function between x = 3 and x = 3 + h.
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Average = [g(3+h)-g(3)]/[3+h-3]
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= [-1/(3+h)-(-1/3)]/[h]
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= [-1/(3+h)+(1/3)]/h
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= [(-3+3+h)/(3(3+h))]/h
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= [h/(9+3h)]/h
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= 1/(9+3h)
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Cheers,
Stan H.
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