# Find the Inverse -3x^2-12

Interchange the variables.
Solve for .
Rewrite the equation as .
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify each term.
Move the negative in front of the fraction.
Divide by .
Take the square root of both sides of the equation to eliminate the exponent on the left side.
The complete solution is the result of both the positive and negative portions of the solution.
Simplify the right side of the equation.
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Multiply by .
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Next, use the negative value of the to find the second solution.
The complete solution is the result of both the positive and negative portions of the solution.
Solve for and replace with .
Replace the with to show the final answer.
Set up the composite result function.
Evaluate by substituting in the value of into .
Reduce the expression by cancelling the common factors.
Reduce the expression by cancelling the common factors.
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Combine exponents.
Factor out negative.
Multiply by .
Multiply by .
Pull terms out from under the radical, assuming positive real numbers.
Since , is the inverse of .
Find the Inverse -3x^2-12