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

Enter a problem... Precalculus Examples Popular Problems Precalculus Find the Inverse g(x)=-2x-5 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 3.3.3Simplify the right side.Tap for more steps...Step 3.3.3.1Simplify each term.Tap for more steps...Step 3.3.3.1.1Move the negative in front of the fraction.Step 3.3.3.1.2Move the negative in front of the fraction.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 5.2.4.1Apply the distributive property.Step 5.2.4.2Multiply by .Step 5.2.4.3Multiply by .Step 5.2.5Simplify terms.Tap for more steps...Step 5.2.5.1Combine the opposite terms in .Tap for more steps...Step 5.2.5.1.1Subtract from .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 5.3.3.2.2Factor out of .Step 5.3.3.2.3Cancel the common factor.Step 5.3.3.2.4Rewrite the expression.Step 5.3.3.3Multiply by .Step 5.3.3.4Multiply by .Step 5.3.3.5Cancel the common factor of .Tap for more steps...Step 5.3.3.5.1Move the leading negative in into the numerator.Step 5.3.3.5.2Factor out of .Step 5.3.3.5.3Cancel the common factor.Step 5.3.3.5.4Rewrite the expression.Step 5.3.3.6Multiply 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 .

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