How Do You Calculate Intersection Points of Two Graphs?

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sam1390
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i have two graphs, i need to know how to calculate the points where the two graphs touch.

in my case there are two points.

do i have to make the equation equal or something?

the two equations are (7x)/(x^2+1)

and (x^2+2x+5)/(x+2)
 
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Welcome to PF.

You mean that you have 2 equations Y(x).

And you want to identify where the values of Y are equal between the 2 equations.

Maybe if you set one = to the other and solved for x ...?