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Graph y=x+1/x² and y=1/x for positive values of x.

User Chashikajw
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5 votes

Answer:

Graphic is showed in the figure below

Explanation:

To graph the equations given, let's do a table for positive values of x, and, by replacing it in the equation, let's calculate the value of y. Knowing the coordinate points (x,y) we can build the graphic.

x y= x + 1/x² y = 1/x

1 2 1

2 2.25 0.2

3 3.11 0.33

4 4.06 0.25

When x->0 both equations -> ∞, because lim(1/x) x->0 = ∞

The graphic is showed below. In red there is y = 1 + 1/x² and in blue y = 1/x

Graph y=x+1/x² and y=1/x for positive values of x.-example-1
User Evelynn
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