Find The Inverse (5x+2)/7 - Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Inverse (5x+2)/7 Step 1Interchange the variables.Step 2Solve for .Tap for more steps...Step 2.1Rewrite the equation as .Step 2.2Multiply both sides by .Step 2.3Simplify.Tap for more steps...Step 2.3.1Simplify the left side.Tap for more steps...Step 2.3.1.1Cancel the common factor of .Tap for more steps...Step 2.3.1.1.1Cancel the common factor.Step 2.3.1.1.2Rewrite the expression.Step 2.3.2Simplify the right side.Tap for more steps...Step 2.3.2.1Move to the left of .Step 2.4Solve for .Tap for more steps...Step 2.4.1Subtract from both sides of the equation.Step 2.4.2Divide each term in by and simplify.Tap for more steps...Step 2.4.2.1Divide each term in by .Step 2.4.2.2Simplify the left side.Tap for more steps...Step 2.4.2.2.1Cancel the common factor of .Tap for more steps...Step 2.4.2.2.1.1Cancel the common factor.Step 2.4.2.2.1.2Divide by .Step 2.4.2.3Simplify the right side.Tap for more steps...Step 2.4.2.3.1Move the negative in front of the fraction.Step 3Replace with to show the final answer.Step 4Verify if is the inverse of .Tap for more steps...Step 4.1To verify the inverse, check if and .Step 4.2Evaluate .Tap for more steps...Step 4.2.1Set up the composite result function.Step 4.2.2Evaluate by substituting in the value of into .Step 4.2.3Combine the numerators over the common denominator.Step 4.2.4Cancel the common factor of .Tap for more steps...Step 4.2.4.1Cancel the common factor.Step 4.2.4.2Rewrite the expression.Step 4.2.5Combine the opposite terms in .Tap for more steps...Step 4.2.5.1Subtract from .Step 4.2.5.2Add and .Step 4.2.6Cancel the common factor of .Tap for more steps...Step 4.2.6.1Cancel the common factor.Step 4.2.6.2Divide by .Step 4.3Evaluate .Tap for more steps...Step 4.3.1Set up the composite result function.Step 4.3.2Evaluate by substituting in the value of into .Step 4.3.3Simplify the numerator.Tap for more steps...Step 4.3.3.1Apply the distributive property.Step 4.3.3.2Cancel the common factor of .Tap for more steps...Step 4.3.3.2.1Cancel the common factor.Step 4.3.3.2.2Rewrite the expression.Step 4.3.3.3Cancel the common factor of .Tap for more steps...Step 4.3.3.3.1Move the leading negative in into the numerator.Step 4.3.3.3.2Cancel the common factor.Step 4.3.3.3.3Rewrite the expression.Step 4.3.3.4Add and .Step 4.3.3.5Add and .Step 4.3.4Cancel the common factor of .Tap for more steps...Step 4.3.4.1Cancel the common factor.Step 4.3.4.2Divide by .Step 4.4Since and , then is the inverse of .

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