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

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

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

domain

y = \frac{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

lo g_{2} (3 \cdot 2^{x + 1} - 64)

y = - 2 + x + 6

(x - 2)^{2} + 3

(9, - 9), (- 4, 5)

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