What is the domain of y=(3x)/(2x^2-6x+4) ?

The domain of y=(3x)/(2x^2-6x+4) is x 2

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domain of y=(3x)/(2x^2-6x+4)

domain

y = \frac{3 x}{2 x ^{2} - 6 x + 4}

x < 1 or 1 < x < 2 or x > 2

Interval Notation

(- \infty, 1) \cup (1, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = 1

The function domain

x < 1 or 1 < x < 2 or x > 2

\frac{2 x ^{2} - 6 x - 20}{x ^{2} - 4 x - 5}

f (x) = 2 x e^{2 x}

(147.3, 150), (162.7, 165)

f (x) = - 3 x + 21

f (x) = \frac{x - 5}{4}

What is the domain of y=(3x)/(2x^2-6x+4) ?
The domain of y=(3x)/(2x^2-6x+4) is x<1\lor 1<x<2\lor x>2