Finite Math Examples

Find the Domain g(x)=(x+4)/(x^(2-9))
Step 1
Set the denominator in equal to to find where the expression is undefined.
Step 2
Solve for .
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Step 2.1
Simplify .
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Step 2.1.1
Subtract from .
Step 2.1.2
Rewrite the expression using the negative exponent rule .
Step 2.2
Set the numerator equal to zero.
Step 2.3
Since , there are no solutions.
No solution
No solution
Step 3
Set the base in equal to to find where the expression is undefined.
Step 4
The domain is all values of that make the expression defined.
Interval Notation:
Set-Builder Notation:
Step 5