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 May 30th, 2014, 09:29 AM #1 Newbie   Joined: May 2014 From: Texas Posts: 8 Thanks: 0 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.
 May 30th, 2014, 11:42 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,674 Thanks: 2654 Math Focus: Mainly analysis and algebra 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? Thanks from mustangman578
 May 30th, 2014, 06:46 PM #3 Newbie   Joined: May 2014 From: Texas Posts: 8 Thanks: 0 I'm assuming its the distance formula but I'm not sure
 May 30th, 2014, 07:50 PM #4 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,674 Thanks: 2654 Math Focus: Mainly analysis and algebra That's it exactly. Thanks from mustangman578
 May 31st, 2014, 07:17 AM #5 Senior Member     Joined: Nov 2013 From: Baku Posts: 502 Thanks: 56 Math Focus: Geometry The distance between points $\displaystyle (a_1 , b_1 )$ and $\displaystyle (a_2 , b_2)$ is $\displaystyle \sqrt{(a_1 - a_2)^2 + (b_1 - b_2)^2 }$ Thanks from mustangman578

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