What is the domain of y=(-4-2x^2)/(x^2-3) ?

The domain of y=(-4-2x^2)/(x^2-3) is x sqrt(3)

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domain of y=(-4-2x^2)/(x^2-3)

domain

y = \frac{- 4 - 2 x ^{2}}{x ^{2} - 3}

x < - 3 or - 3 < x < 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

x < - 3 or - 3 < x < 3 or x > 3

\frac{7}{x + 6}

(3, 3), (- 1, 1)

f (x) = 9 - 4 x

sin^{5} (x)

\frac{2 x}{3 - x}

What is the domain of y=(-4-2x^2)/(x^2-3) ?
The domain of y=(-4-2x^2)/(x^2-3) is x<-sqrt(3)\lor-sqrt(3)<x<sqrt(3)\lor x>sqrt(3)