Trigonometry Examples

Find the Inverse y=9x^2-4
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 .
Take the root of both sides of the to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
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Simplify the right side of the equation.
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Combine the numerators over the common denominator.
Rewrite as .
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Factor the perfect power out of .
Factor the perfect power out of .
Rearrange the fraction .
Pull terms out from under the radical.
Combine and .
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Solve for and replace with .
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Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Simplify the numerator.
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Add and .
Add and .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Since , is the inverse of .
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