Algebra Examples

Find the Domain and Range y=arccos(x-2)
Step 1
Set the argument in greater than or equal to to find where the expression is defined.
Step 2
Move all terms not containing to the right side of the inequality.
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Step 2.1
Add to both sides of the inequality.
Step 2.2
Add and .
Step 3
Set the argument in less than or equal to to find where the expression is defined.
Step 4
Move all terms not containing to the right side of the inequality.
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Step 4.1
Add to both sides of the inequality.
Step 4.2
Add and .
Step 5
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Step 6
The range is the set of all valid values. Use the graph to find the range.
Interval Notation:
Set-Builder Notation:
Step 7
Determine the domain and range.
Domain:
Range:
Step 8