Algebra Examples

Find the Domain and Range y=(2x)/((x-2)(x+1))
Step 1
Set the denominator in equal to to find where the expression is undefined.
Step 2
Solve for .
Tap for more steps...
Step 2.1
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Step 2.2
Set equal to and solve for .
Tap for more steps...
Step 2.2.1
Set equal to .
Step 2.2.2
Add to both sides of the equation.
Step 2.3
Set equal to and solve for .
Tap for more steps...
Step 2.3.1
Set equal to .
Step 2.3.2
Subtract from both sides of the equation.
Step 2.4
The final solution is all the values that make true.
Step 3
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Step 4
The range is the set of all valid values. Use the graph to find the range.
Interval Notation:
Set-Builder Notation:
Step 5
Determine the domain and range.
Domain:
Range:
Step 6