(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the average rate of change:

g(x)=1/x; x = 1, x = a

2. Relevant equations

(f(b)-f(a))/(b-a) = Average rate of change

3. The attempt at a solution

I've spent far too much time on this problem, but I know I'm making a stupid error and I just can't pin it down. So far, the steps I'm pretty confident about:

g(1) = 1/1 = 1

g(a) = 1/a

Average rate of change = ((1/a)-1)/(a-1)

According to the book the answer is -(1/a)... but I'm just not seeing it.

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# Simple Precalculus: Average rate of change

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