What is the domain of yx^2-4y-x^2=0 ?

The domain of yx^2-4y-x^2=0 is x 2

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domain of yx^2-4y-x^2=0

domain

y x^{2} - 4 y - x^{2} = 0

x < - 2 or - 2 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

x < - 2 or - 2 < x < 2 or x > 2

f (x) = x^{4} - x^{3} - 6 x^{2}

y = 5 - 3 x

f (x) = \frac{x}{x ^{2} + 2 x - 8}

f (x) = \frac{20 - 4 x}{2}

y = \frac{2 x + 14}{x ^{2} - 49}

What is the domain of yx^2-4y-x^2=0 ?
The domain of yx^2-4y-x^2=0 is x<-2\lor-2<x<2\lor x>2