Find the Inverse f(x)=(7-8x)^2

Math
Replace with .
Interchange the variables.
Solve for .
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Rewrite the equation as .
Take the square root of each side of the equation to set up the solution for
Remove the perfect root factor under the radical to solve for .
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.
Subtract from 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 .
Simplify each term.
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Move the negative in front of the fraction.
Dividing two negative values results in a positive value.
Next, use the negative value of the to find the second solution.
Subtract from 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 .
Simplify each term.
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Dividing two negative values results in a positive value.
Dividing two negative values results in a positive value.
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 .
Pull terms out from under the radical, assuming positive real numbers.
Combine the numerators over the common denominator.
Simplify the numerator.
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Apply the distributive property.
Multiply by .
Multiply by .
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 f(x)=(7-8x)^2

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