Question

find two functions defined implicitly by the given relation.
(x^{2}+y^{2}=9)
(y = square)
(simplify your answer. type an exact answer, using radicals as needed. use a comma to separate answers as needed.)

Explanation:

Step1: Isolate $y^2$ term

$y^2 = 9 - x^2$

Step2: Solve for $y$ via square root

$y = \sqrt{9 - x^2},\ y = -\sqrt{9 - x^2}$

Answer:

$\sqrt{9 - x^2}, -\sqrt{9 - x^2}$