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

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

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

domain

f (x) = \frac{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

f (x) = x^{2} + 7 x - 3

f (x) = - 9

\frac{x ^{2}}{x ^{2} + 16}

f (x) = ln (2 x^{2} + x + 1)

y = x^{2} e^{- 3 x}

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