Solve g(y)= 1/y over the interval (1,4)
Average rate of change= g(b)−g(a)b−a\frac{g(b)-g(a)}{b-a}\\b−ag(b)−g(a)
=g(4)−g(1)4−1=14−13.=−14.=\frac{g(4)-g(1)}{4-1}\\ =\frac{\frac{1}{4}-1}{3.}\\ =\frac{-1}{4}.=4−1g(4)−g(1)=3.41−1=4−1.
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