# Find the Inverse -1/(4x)

Interchange the variables.
Solve for .
Rewrite the equation as .
Solve for .
Multiply each term by and simplify.
Multiply each term in by .
Simplify .
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Rewrite the equation as .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify .
Multiply and .
Move to the left of .
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 .
Cancel the common factor of and .
Rewrite as .
Move the negative in front of the fraction.
Combine and .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Since , is the inverse of .
Find the Inverse -1/(4x)