Respuesta :

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]