Find the equations of all tangent lines to the curve $y=x/(x+1)$ that intersect the point $(1,2)$. Note that the point $(1,2)$ does not lie on the curve. Please simplify your final answer as much as possible.
-I am so lost in trying to solve this question. I found the derivative of $f(x)$ which is $1/(x+1)^2$ which is equal to the slope. Then I wrote the equation in the $y=mx +c$ format to solve for an equation. I got the equation $y=[1/(x+1)^2]x +1.75$
I have a feeling this is incorrect and do not know what to do next. Am I approaching this question right?