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

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

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

domain

f (x) = \frac{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

f (x) = (x + 1) 2

f (x) = \frac{1}{x - 1}

y = \frac{3}{x + 2}

2 x^{2} - 4 x - 2

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