For the function f(x)= 8/x+7,find the average rate of change of f from 1 to x.

3 answers

Did you mean
f(x) = 8/(x+7)

then f(1) = 8/8 = 1

avg rate of change = (f(x) - f(1) )/(x-1)
= (8/(x+7) - 1)/(x-1)
= ( (8 - x - 7)/(x+7) )/(x-1)
= ( (1-x)/x+7) )/(x-1)
= -1/(x+7)
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