Asked by TayB
Evaluate the difference quotient for the given function. Simplify your answer.
f(x)=1/x, (f(x)-f(a))/(x-a)
f(x)=1/x, (f(x)-f(a))/(x-a)
Answers
Answered by
Reiny
(f(x)-f(a))/(x-a)
= (1/x - 1/a)/(x-a)
= ( (a - x)/(ax) )/(x-a)
now (a-x)/(x-a) = -1
so ..
= -1/(ax)
= (1/x - 1/a)/(x-a)
= ( (a - x)/(ax) )/(x-a)
now (a-x)/(x-a) = -1
so ..
= -1/(ax)
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