Calculus Examples

Write as an equation.
Interchange the variables.
Solve for .
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Rewrite the equation as .
Add to both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Replace the with to show the final answer.
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 .
Combine the numerators over the common denominator.
Simplify the numerator.
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Add and .
Add and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Evaluate .
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Set up the composite result function.
Evaluate by substituting in the value of into .
Simplify each term.
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Apply the distributive property.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Combine the opposite terms in .
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Subtract from .
Add and .
Since and , then is the inverse of .
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