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We want to find the domain of the function, h of u, v, is equal to the square root of 4 minus u squared minus b squared.
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This question is testing our fundamental understanding of two concepts.
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First, domain, that is the variable space for which a function is defined.
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And secondly, multivariable functions.
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These two concepts are a cornerstone of multivariable calculus.
00:23
So let's move into understanding the domain.
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So the domain generally is all x, y, or for this problem, all u, v, for which f, or in this case, is real, so we have to be able to input numbers u, v, and have a valid output for h.
00:39
The domain is found by finding where denominator is not equal zero...