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and 
.
is that the set of all values 
that fall in the domain of 
such that 
falls in the domain of 
.
, a square root function, whose domain is the set of all values of 
that make the radicand nonnegative. Since the radicand is 
itself, the domain of 
is simply the set of all nonnegative numbers, or 
.
, a polynomial function, whose domain is the set of all real numbers. Therefore, the domain is not restricted further by 
. The domain of 
is 
.
and 
.
.
is that the set of all values 
that fall in the domain of 
such that 
falls in the domain of 
.
, a rational function, so its domain is the set of all numbers except those that make its denominator zero. 
if and only if 
, making its domain 
.
, a square root function, so the domain of 
is the set of all values 
that make the radicand a nonnegative number. Since the radicand is 
itself, the domain of 
is simply the set of all nonnegative numbers, or 
.
in 
that make
,
.
is therefore 
.
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