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May 30th, 2014, 09:29 AM   #1
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help with functions

Let C denote the graph of y=1/x, x > 0.
(a) Express the distance between the point P(1,0) and a point Q on C as a function of the x-coordinate of Q.
(b) What is the domain of the distance function obtained in part (a)?
(c) Use the graph of the distance function obtained in part (a) to estimate the point Q on C that is closest to the point P.
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May 30th, 2014, 11:42 AM   #2
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Your point $Q(x,y)$ is on the line $y = \frac{1}{x}$. In other words we can write that the point $Q$ is $(x,\frac{1}{x})$.

Now you have to work out the distance $s(x)$ between $P$ and $Q$. Can you do that?
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May 30th, 2014, 06:46 PM   #3
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I'm assuming its the distance formula but I'm not sure
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May 30th, 2014, 07:50 PM   #4
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That's it exactly.
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May 31st, 2014, 07:17 AM   #5
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The distance between points $\displaystyle (a_1 , b_1 )$ and $\displaystyle (a_2 , b_2)$ is $\displaystyle \sqrt{(a_1 - a_2)^2 + (b_1 - b_2)^2 }$
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