# Find the Inverse f(x)=3x-1/4

Replace with .
Interchange the variables.
Solve for .
Rewrite the equation as .
Add to 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 .
Multiply .
Multiply and .
Multiply 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 terms.
Simplify each term.
Simplify the numerator.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Multiply by .
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Since , is the inverse of .
Find the Inverse f(x)=3x-1/4

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