The radical function
.
Domain is all possible values of
.
Value inside the square root should be greater than or equal to
.
.
Consider
.
Solve the equation
.
.
Determine the real zeros of
.
The real zero of numerator is
and the real zeros of denominator
.
So the real zeros are divide the
- axis into two intervals.
\

The function intervals are
,
, and
.
Divide the solutions into three intervals
.
Now test sample values in each interval to determine whether values in the interval satisfy the inequality.
\| Interval | \Number chosen | \value of ![]() | \
Conclusion | \
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True | \
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False | \
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True | \
Domain of
is
.
Domain of
is
.