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Is it possible to get any give number with a minimum value and a maximum value?

to output any number you desire?

for example

x ? y = z  x = any number between 0 and 9 ? = any operator [+,-,/,*, square root, power of,etc...] y = any number between 0 and 9 z = outcome is any number between 0 and 10,000 (ten thousand) 

My second question is: is there a way or formula to do it in reverse for example,

578 = x ? y 

So if I know what Z (or outcome is) can I calculate what the other factors can be to give me that outcome using a formula or algorithmic method?

Please ask away if you need further clarifications to my questions I will try my best to explain it further more.

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    There are $10$ choices for $x$ and $10$ choices for $y$. Let's say you allow $10$ possible operators. Then you can only get at most $10\times10\times10 = 1000$ different results. So the answer is no.2012-10-25
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    If I suppose increase the number of operators to lets say 252 or more, (I know you are thinking WTH) but an operator could also be replace with a function (I am thinking in computer terms here not so much in maths) in theory this is possible? right?2012-10-26

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