The radical function .
Domain is all possible values of .
Value inside the square root should be greater than or equal to .
.
Solve the inequality .
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.
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The function intervals are ,
, and
.
Devide 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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True | \
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False | \
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True | \
Domain of is
.
Domain of is
.