The radical function .
Domain is all possible values of .
Note that a negative value under the square root sign is not possible.
\Value inside the square root should be greater than or equal to 0.
\.
Solve the inequality .
Consider .
Solve the equation .
and
and
.
Solutions of the equation are
.
Divide the solutions into three intervals ,
and
.
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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Negative | \
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Negative | \
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Positive | \
From the above table, conclude that for all numbers
for which
.
Solutions of the inequality are
or
.
Domain of is
.
Domain set is .