# How to define a function in an implicit form

Know the 2-variables function $$F(x,y)$$. How can I define the function $$x\to f(x)$$ s.t. $$F(x,f(x))=0$$?

• So you want to solve an equation, right? Did you search for how to solve equations in Mathematica? Please show what you have already tried, and we can go from there. – Szabolcs Aug 8 at 9:43
• Note the map from $x$ to $y$ is not necessarily a function, as there could be multiple $y$ for a single $x$. – Silvia Aug 8 at 11:09