Find The Inverse Function G(x)=5x-2 - Mathway

Enter a problem... Finite Math Examples Popular Problems Finite Math Find the Inverse g(x)=5x-2 Step 1Write as an equation.Step 2Interchange the variables.Step 3Solve for .Tap for more steps...Step 3.1Rewrite the equation as .Step 3.2Add to both sides of the equation.Step 3.3Divide each term in by and simplify.Tap for more steps...Step 3.3.1Divide each term in by .Step 3.3.2Simplify the left side.Tap for more steps...Step 3.3.2.1Cancel the common factor of .Tap for more steps...Step 3.3.2.1.1Cancel the common factor.Step 3.3.2.1.2Divide by .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 5.2.4Combine the opposite terms in .Tap for more steps...Step 5.2.4.1Add and .Step 5.2.4.2Add and .Step 5.2.5Cancel the common factor of .Tap for more steps...Step 5.2.5.1Cancel the common factor.Step 5.2.5.2Divide 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 5.3.3.2.1Cancel the common factor.Step 5.3.3.2.2Rewrite the expression.Step 5.3.3.3Cancel the common factor of .Tap for more steps...Step 5.3.3.3.1Cancel the common factor.Step 5.3.3.3.2Rewrite the expression.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 .

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