Finite Math Examples

Step 1
Write as an equation.
Step 2
Interchange the variables.
Step 3
Solve for .
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Rewrite the equation as .
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 4
Replace with to show the final answer.
Step 5
Verify if is the inverse of .
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To verify the inverse, check if and .
Evaluate .
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Set up the composite result function.
Evaluate by substituting in the value of into .
Remove parentheses.
Pull terms out from under the radical, assuming real numbers.
Evaluate .
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Set up the composite result function.
Evaluate by substituting in the value of into .
Rewrite as .
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Use to rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify.
Since and , then is the inverse of .
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