Find the point(s) on the graph of y = 3/x that are closest to the origin.
If you were to graph this equation, you might notice that the line y = x is a line of symmetry.
Combining the two equations y = 3/x and y = x, we get: x = 3/x ---> x2 = 3
So: either x = sqrt(3) or x = - sqrt(3).
Therefore, the points ( sqrt(3), sqrt(3) ) and ( - sqrt(3), - sqrt(3) ) are closest to the origin.