Finite Math Examples

Find the Domain and Range f(x)=(4x)/(7-x)
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
Subtract from both sides of the equation.
Step 2.2
Divide each term in by and simplify.
Tap for more steps...
Step 2.2.1
Divide each term in by .
Step 2.2.2
Simplify the left side.
Tap for more steps...
Step 2.2.2.1
Dividing two negative values results in a positive value.
Step 2.2.2.2
Divide by .
Step 2.2.3
Simplify the right side.
Tap for more steps...
Step 2.2.3.1
Divide by .
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