# 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

Find the Inverse (x^2)/8+(3x^2)/2+(9x)/2
Switch up the variables.
Calculate .
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 .
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.
Calculate and replace with .
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 .
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 .
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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