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

Replace with .
Interchange the variables.
Solve for .
Rewrite the equation as .
Combine and .
Subtract from both sides of the equation.
Multiply both sides of the equation by .
Simplify both sides of the equation.
Simplify .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Simplify .
Apply the distributive property.
Combine and .
Multiply .
Combine and .
Multiply by .
Move the negative in front of the fraction.
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.
Combine and .
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
Combine and .
Reduce the expression by cancelling the common factors.
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Rewrite the expression.
Divide by .
Combine the numerators over the common denominator.
Simplify the numerator.
Subtract from .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Since , is the inverse of .
Find the Inverse Function f(x)=3/2x+1