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

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

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

f (x) = \frac{2 x + 3}{1 - 5 x}

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

f (x) = 7 x - 21

f (x) = 1 - 1

\frac{6 x}{7 x - 9}

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)