Answer:
[-3,3]
Step-by-step explanation:
Write the problem as a mathematical expression.
4x^2+y^2=36
Subtract 4x^2 from both sides of the equation.
y^2=36-4x^2
Take the square root of both sides of the equation to eliminate the exponent on the left side.
y= + and - [tex]\sqrt{36-4x^2}[/tex]
The complete solution is the result of both the positive and negative portions of the solution.
y= [tex]2\sqrt{(3+x)(3-x)[/tex]
[tex]y= -2\sqrt{(3+x)(3-x)}[/tex]
Set the radicand in [tex]\sqrt{(3+x)(3-x)} \geq 0[/tex] greater than or equal to 0 to find where the expression is defined.
[tex](3+x)(3-x)\geq 0[/tex]
So your answer would be [-3,3]