Find the Inverse 5y+4=(x+3)^2+1/2

Math
Simplify .
Tap for more steps…
Simplify each term.
Tap for more steps…
Rewrite as .
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply by .
Move to the left of .
Multiply by .
Add and .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Multiply by .
Add and .
Move all terms not containing to the right side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Multiply by .
Subtract from .
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Multiply .
Tap for more steps…
Multiply and .
Multiply by .
Interchange the variables.
Solve for .
Tap for more steps…
Rewrite the equation as .
Move to the left side of the equation by subtracting it from both sides.
Multiply through by the least common denominator , then simplify.
Tap for more steps…
Apply the distributive property.
Simplify.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Multiply by .
Move .
Move .
Use the quadratic formula to find the solutions.
Substitute the values , , and into the quadratic formula and solve for .
Simplify.
Tap for more steps…
Simplify the numerator.
Tap for more steps…
Raise to the power of .
Apply the distributive property.
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Tap for more steps…
Factor out of .
Rewrite as .
Add parentheses.
Pull terms out from under the radical.
Multiply by .
Simplify .
Simplify the expression to solve for the portion of the .
Tap for more steps…
Simplify the numerator.
Tap for more steps…
Raise to the power of .
Apply the distributive property.
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Tap for more steps…
Factor out of .
Rewrite as .
Add parentheses.
Pull terms out from under the radical.
Multiply by .
Simplify .
Change the to .
Rewrite as .
Factor out of .
Factor out of .
Move the negative in front of the fraction.
Simplify the expression to solve for the portion of the .
Tap for more steps…
Simplify the numerator.
Tap for more steps…
Raise to the power of .
Apply the distributive property.
Multiply by .
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Tap for more steps…
Factor out of .
Rewrite as .
Add parentheses.
Pull terms out from under the radical.
Multiply by .
Simplify .
Change the to .
Factor out of .
Tap for more steps…
Rewrite as .
Factor out of .
Factor out of .
Rewrite as .
Move the negative in front of the fraction.
The final answer is the combination of both solutions.
Solve for and replace with .
Tap for more steps…
Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Simplify the numerator.
Tap for more steps…
Apply the distributive property.
Simplify.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Add and .
Rewrite in a factored form.
Tap for more steps…
Factor out of .
Tap for more steps…
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor using the perfect square rule.
Tap for more steps…
Rewrite as .
Check the middle term by multiplying and compare this result with the middle term in the original expression.
Simplify.
Factor using the perfect square trinomial rule , where and .
Multiply by .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Apply the distributive property.
Multiply by .
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
Add and .
Cancel the common factor of and .
Tap for more steps…
Factor out of .
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Since , is the inverse of .
Find the Inverse 5y+4=(x+3)^2+1/2

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top