Finite Math Examples

Find the Domain f(x)=1/((x-0.78)^2+0.024)
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
Subtract from both sides of the equation.
Step 2.2
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 2.3
Simplify .
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Step 2.3.1
Rewrite as .
Step 2.3.2
Rewrite as .
Step 2.3.3
Rewrite as .
Step 2.4
The complete solution is the result of both the positive and negative portions of the solution.
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Step 2.4.1
First, use the positive value of the to find the first solution.
Step 2.4.2
Add to both sides of the equation.
Step 2.4.3
Next, use the negative value of the to find the second solution.
Step 2.4.4
Add to both sides of the equation.
Step 2.4.5
The complete solution is the result of both the positive and negative portions of the solution.
Step 3
The domain is all real numbers.
Interval Notation:
Set-Builder Notation:
Step 4