Examine the function
f(x) = x + (2/x)
find the point on the curve at which the tangent lines pass through the point (3, 3).
(x, y) = ?

The tangent line to the function's graph at any point has slope



and thus has the equation



Any such line that passes through (3,3) will then satisfy



clearly can't be 0, so we can divide both sides by to end up with



So the only point that answers the question is

X= -5because this is a single step equation so you would just have to divide -16 both sides for x to equal your solution