Find the Inverse Function f(x)=(2x-3)/(x+1)

Math
Replace with .
Interchange the variables.
Solve for .
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Rewrite the equation as .
Solve for .
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Multiply each term by and simplify.
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Multiply each term in by .
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify .
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Apply the distributive property.
Multiply by .
Subtract from both sides of the equation.
Add to both sides of the equation.
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
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 .
Combine the numerators over the common denominator.
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 .
Multiply the numerator and denominator of the complex fraction by .
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Multiply by .
Combine.
Apply the distributive property.
Simplify by cancelling.
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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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Move the leading negative in into the numerator.
Cancel the common factor.
Rewrite the expression.
Simplify the numerator.
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Apply the distributive property.
Move to the left of .
Multiply by .
Add and .
Add and .
Add and .
Simplify the denominator.
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Apply the distributive property.
Move to the left of .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Add and .
Add and .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Since , is the inverse of .
Find the Inverse Function f(x)=(2x-3)/(x+1)


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