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

Graphic is showed in the figure below

Step-by-step 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

college