Finding the range of the paramter space in Mathematica

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Safinaz
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If I have a function depends on for example 2 parameters f[a,b], and I know the value of this function should range between 300 < f < 400, how I know the possible ranges of the parameters in Mathematica.

Bests,
S.S.
 
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You want to find the part of the parameter space of (a,b) where the function satisfies those inequalities?
In general, that does not have an analytic solution, but you can try to solve f(a,b)=300 and f(a,b)=400 for either a or b, then you can calculate and draw the boundaries. Alternatively, plot f - but only if 300 < f < 400. That gives you a graphical representation.
 
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