Mathematica Visualizing Dependence of f(x,y) on s(x,y) and t(x,y)

[OB1]

(Sorry about the convoluted title)
I have a (very messy) function, say f(x,y), which is dependent upon two other functions, say s(x,y) and t(x,y). I'd like to do a contour plot of f(x,y)'s dependence on s(x,y) and t(x,y) - i.e. have s(x,y) and t(x,y) on the margins. I don't get an error when I try this, I just get a blank contour plot. Any ideas?

 

[Dale]

So you are trying to display 3 different contour plots simultaneously? I believe you can do that simply with a list of the plots.