/sci/ - Science & Math

Let [math]f[/math] be a function, let [math]x,k \in \mathbb{R}[/math]

Now I search for some way I could implement an algorithm that would tell me the x-position if I started at [math](x,f(x))[/math] and "walked" [math]k[/math] steps along the graph.

In the end I would like to have some function (if this is possible) where I just do [math]g(f,x,k)\rightarrow \mathbb{R}[/math].

Anyone has a clue how to do this?