# Find the Inverse (x to the power of two) divide eight plus(three x to the power of two) divide two plus(nine x) divide two

Switch up the variables.

Should be rewritten the equation as .

Clarify .

To write as a fraction with a common denominator, First, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

First, multiply by .

Add numerators over the common denominator.

Clarify each term.

Clarify the numerator.

Factor out of .

Multiply by .

Factor out of .

Factor out of .

Multiply by .

Add and .

Move to the left of .

Put to the left side of the equation by subtracting it from both sides.

Multiply through by the least common denominator , then simplify.

Use the distributive law.

Simplify.

The common factor should be canceled of .

Cancel the common factor.

Reformulate the expression.

The common factor should be canceled.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Multiply by .

Move .

Apply the quadratic formula to Find solution to the equation.

Substitute the values , , and into the quadratic formula and Calculate .

Simplify.

Simplify the numerator.

Raise to the power of .

Multiply by .

Multiply by .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Rewrite as .

Rewrite as .

Withdraw terms from under the radical.

Raise to the power of .

Multiply by .

Simplify .

Clarify the expression to solve for the portion of the .

Simplify the numerator.

Raise to the power of .

Multiply by .

Multiply by .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Rewrite as .

Rewrite as .

Pull terms out from under the radical.

Raise to the power of .

Multiply by .

Simplify .

Change the to .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Factor out of .

Factor out of .

Put the negative in front of the fraction.

Simplify the expression to solve for the portion of the .

Simplify the numerator.

Raise to the power of .

Multiply by .

Multiply by .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Rewrite as .

Rewrite as .

Pull terms out from under the radical.

Raise to the power of .

Multiply by .

Simplify .

Change the to .

Factor out of .

Shift and .

Factor out of .

Factor out of .

Factor out of .

Move the negative in front of the fraction.

The combination of 2 solutions is the answer.

Replace the with to show the final answer.

Build a composite result function.

Evaluate by substituting in the value of into .

Simplify the numerator.

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Multiply and .

Multiply by .

Add the numerators over the common denominator.

Simplify each term.

Simplify the numerator.

Factor out of .

Multiply by .

Factor out of .

Factor out of .

Multiply by .

Add and .

Move to the left of .

Apply the distributive property.

Cancel the common factor of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Combine and .

First, multiply by .

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Shift terms.

Factor by applying the perfect square rule.

Rewrite as .

Rewrite as .

Rewrite as .

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 .

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Multiply by .

Apply the product rule to .

Raise to the power of .

Rewrite as .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Rewrite in a factored form.

Multiply by .

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from .

Add and .

Move the negative in front of the fraction.

Simplify the numerator.

Multiply by .

Combine and .

Multiply by .

Remove the common factors to reduce the expression.

Reduce the expression by cancelling the common factors.

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

First, divide by .

Cancel the common factor of and .

Factor out of .

The common factors should be canceled.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

Since , is the inverse of .

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