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Question

Use a graphing calculator, if possible, or a computer algebra system such as Mathematica to first define the following functions and then simplify the expression $\frac{f(x+h)-f(x)}{h}$. See the Technology Note after the said example for guidance.

$f(x)=\dfrac{1}{x-1}$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3In this exercise it is needed to define the following function by using a graphic calculator:

$\begin{equation*} f(x) = \dfrac{1}{x-1} \end{equation*}$

and then simplify the expression:

$\begin{equation*} \dfrac{f(x+h)-f(x)}{h} \end{equation*}$

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