Find The Inverse G(x)=4-3/2x - Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Inverse g(x)=4-3/2x Step 1Write as an equation.Step 2Interchange the variables.Step 3Solve for .Tap for more steps...Step 3.1Rewrite the equation as .Step 3.2Simplify each term.Tap for more steps...Step 3.2.1Combine and .Step 3.2.2Move to the left of .Step 3.3Subtract from both sides of the equation.Step 3.4Multiply both sides of the equation by .Step 3.5Simplify both sides of the equation.Tap for more steps...Step 3.5.1Simplify the left side.Tap for more steps...Step 3.5.1.1Simplify .Tap for more steps...Step 3.5.1.1.1Cancel the common factor of .Tap for more steps...Step 3.5.1.1.1.1Move the leading negative in into the numerator.Step 3.5.1.1.1.2Move the leading negative in into the numerator.Step 3.5.1.1.1.3Factor out of .Step 3.5.1.1.1.4Cancel the common factor.Step 3.5.1.1.1.5Rewrite the expression.Step 3.5.1.1.2Cancel the common factor of .Tap for more steps...Step 3.5.1.1.2.1Factor out of .Step 3.5.1.1.2.2Cancel the common factor.Step 3.5.1.1.2.3Rewrite the expression.Step 3.5.1.1.3Multiply.Tap for more steps...Step 3.5.1.1.3.1Multiply by .Step 3.5.1.1.3.2Multiply by .Step 3.5.2Simplify the right side.Tap for more steps...Step 3.5.2.1Simplify .Tap for more steps...Step 3.5.2.1.1Apply the distributive property.Step 3.5.2.1.2Combine and .Step 3.5.2.1.3Multiply .Tap for more steps...Step 3.5.2.1.3.1Multiply by .Step 3.5.2.1.3.2Combine and .Step 3.5.2.1.3.3Multiply by .Step 3.5.2.1.4Move to the left of .Step 4Replace with to show the final answer.Step 5Verify if is the inverse of .Tap for more steps...Step 5.1To verify the inverse, check if and .Step 5.2Evaluate .Tap for more steps...Step 5.2.1Set up the composite result function.Step 5.2.2Evaluate by substituting in the value of into .Step 5.2.3Combine the numerators over the common denominator.Step 5.2.4Simplify each term.Tap for more steps...Step 5.2.4.1Simplify each term.Tap for more steps...Step 5.2.4.1.1Combine and .Step 5.2.4.1.2Move to the left of .Step 5.2.4.2Apply the distributive property.Step 5.2.4.3Multiply by .Step 5.2.4.4Cancel the common factor of .Tap for more steps...Step 5.2.4.4.1Move the leading negative in into the numerator.Step 5.2.4.4.2Factor out of .Step 5.2.4.4.3Cancel the common factor.Step 5.2.4.4.4Rewrite the expression.Step 5.2.4.5Multiply by .Step 5.2.5Simplify terms.Tap for more steps...Step 5.2.5.1Combine the opposite terms in .Tap for more steps...Step 5.2.5.1.1Add and .Step 5.2.5.1.2Add and .Step 5.2.5.2Cancel the common factor of .Tap for more steps...Step 5.2.5.2.1Cancel the common factor.Step 5.2.5.2.2Divide by .Step 5.3Evaluate .Tap for more steps...Step 5.3.1Set up the composite result function.Step 5.3.2Evaluate by substituting in the value of into .Step 5.3.3Simplify each term.Tap for more steps...Step 5.3.3.1Apply the distributive property.Step 5.3.3.2Cancel the common factor of .Tap for more steps...Step 5.3.3.2.1Move the leading negative in into the numerator.Step 5.3.3.2.2Move the leading negative in into the numerator.Step 5.3.3.2.3Factor out of .Step 5.3.3.2.4Cancel the common factor.Step 5.3.3.2.5Rewrite the expression.Step 5.3.3.3Cancel the common factor of .Tap for more steps...Step 5.3.3.3.1Factor out of .Step 5.3.3.3.2Cancel the common factor.Step 5.3.3.3.3Rewrite the expression.Step 5.3.3.4Multiply by .Step 5.3.3.5Multiply by .Step 5.3.3.6Cancel the common factor of .Tap for more steps...Step 5.3.3.6.1Move the leading negative in into the numerator.Step 5.3.3.6.2Factor out of .Step 5.3.3.6.3Cancel the common factor.Step 5.3.3.6.4Rewrite the expression.Step 5.3.3.7Cancel the common factor of .Tap for more steps...Step 5.3.3.7.1Factor out of .Step 5.3.3.7.2Cancel the common factor.Step 5.3.3.7.3Rewrite the expression.Step 5.3.3.8Multiply by .Step 5.3.4Combine the opposite terms in .Tap for more steps...Step 5.3.4.1Subtract from .Step 5.3.4.2Add and .Step 5.4Since and , then is the inverse of .

Please ensure that your password is at least 8 characters and contains each of the following:

• a number
• a letter
• a special character: @$#!%*?&