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

The domain of f(x)=(2x)/(3x^2-3) is x 1

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

domain

f (x) = \frac{2 x}{3 x ^{2} - 3}

x < - 1 or - 1 < x < 1 or x > 1

Interval Notation

(- \infty, - 1) \cup (- 1, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 1

The function domain

x < - 1 or - 1 < x < 1 or x > 1

f (x) = ∣ x + 2 ∣ - 3

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

f (x) = \frac{2}{1 + x ^{2}}

f (x) = - 2 + lo g_{4} (x + 3)

\frac{3 x - 4}{2 - x} + \frac{2}{x - 1}

What is the domain of f(x)=(2x)/(3x^2-3) ?
The domain of f(x)=(2x)/(3x^2-3) is x<-1\lor-1<x<1\lor x>1