# Find the Inverse 4/(5+x)

Interchange the variables.
Solve for .
Rewrite the equation as .
Solve for .
Multiply each term by and simplify.
Multiply each term in by .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Simplify .
Apply the distributive property.
Move to the left of .
Rewrite the equation as .
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Solve for and replace with .
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.
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Combine the opposite terms in .
Subtract from .
Add and .
Since , is the inverse of .
Find the Inverse 4/(5+x)

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