Fitting a function in mathematica

[elionix]

Say I have a function:

f(x,y)

I have values for f and y such that I can make a plot of f vs y... however, from the values of f and y, I am interested in finding what x is. The x value should be a constant that is optimized to fit the f vs y graph.

Is there a way I can do this in mathematica?

Thank you for any advice!

 

[jacobrhcp]

Okay, I'm a bit confused by your problem.

you mean, taking a specific example, for instance f(x,y)=(xy)^3? Then, if you know for instance f(x,y)=14 and y=pi/2, that x should be \frac{14^{1/3}}{pi/2}. Using that you can then see that f(x,y)=f(y)=(\frac{14^{1/3}}{pi/2} y)^3. Trying the mathematica functions Solve and Plot should get you on your way.