Solution
Solution
+2
Interval Notation
Decimal Notation
Solution steps
If then
Use the following trivial identity:
periodicity table with cycle:
Move to the right side
Subtract from both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
Domain of
Domain definition
Find known functions domain restrictions:
Solve
If then
Switch sides
Move to the right side
Subtract from both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
Simplify
Divide the numbers:
Cancel the common factor:
Simplify
Apply the fraction rule:
Divide the numbers:
Move to the right side
Subtract from both sides
Simplify
Divide both sides by
Divide both sides by
Simplify
Combine the intervals
Merge Overlapping Intervals
The intersection of two intervals is the set of numbers which are in both intervals
and
The function domain
Combine the intervals
Merge Overlapping Intervals
The intersection of two intervals is the set of numbers which are in both intervals
and