Finite Math Examples

Find Where Undefined/Discontinuous ( square root of x-1/( square root of x))^6
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
To remove the radical on the left side of the equation, square both sides of the equation.
Step 2.2
Simplify each side of the equation.
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Step 2.2.1
Use to rewrite as .
Step 2.2.2
Simplify the left side.
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Step 2.2.2.1
Simplify .
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Step 2.2.2.1.1
Multiply the exponents in .
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Step 2.2.2.1.1.1
Apply the power rule and multiply exponents, .
Step 2.2.2.1.1.2
Cancel the common factor of .
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Step 2.2.2.1.1.2.1
Cancel the common factor.
Step 2.2.2.1.1.2.2
Rewrite the expression.
Step 2.2.2.1.2
Simplify.
Step 2.2.3
Simplify the right side.
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Step 2.2.3.1
Raising to any positive power yields .
Step 3
Set the radicand in less than to find where the expression is undefined.
Step 4
The equation is undefined where the denominator equals , the argument of a square root is less than , or the argument of a logarithm is less than or equal to .
Step 5