Finite Math Examples

Find the Domain ( natural log of 3x)/(x-1)
Step 1
Set the argument in greater than to find where the expression is defined.
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 2.3
Simplify the right side.
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Step 2.3.1
Divide by .
Step 3
Set the denominator in equal to to find where the expression is undefined.
Step 4
Add to both sides of the equation.
Step 5
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Step 6