Trigonometry Examples

Find the Inverse y = square root of 4-x+1
Interchange the variables.
Solve for .
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Rewrite the equation as .
Subtract from both sides of the equation.
To remove the radical on the left side of the equation, square both sides of the equation.
Simplify each side of the equation.
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Simplify the left side of the equation.
Simplify the right side of the equation.
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Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Move to the left of .
Rewrite as .
Rewrite as .
Multiply by .
Subtract from .
Solve for .
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Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Multiply each term in by
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Multiply each term in by .
Multiply .
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Multiply by .
Multiply by .
Simplify each term.
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Move to the left of .
Rewrite as .
Multiply by .
Multiply by .
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 each term.
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Rewrite as .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
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Rewrite as .
Apply the power rule and multiply exponents, .
Combine and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify.
Multiply by .
Multiply by .
Multiply by .
Add and .
Add and .
Apply the distributive property.
Simplify.
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Multiply by .
Multiply .
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Multiply by .
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Simplify by adding terms.
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Combine the opposite terms in .
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Add and .
Add and .
Add and .
Combine the opposite terms in .
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Add and .
Add and .
Since , is the inverse of .
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