What is the domain of (2x^3+x^2-8x-4)/(x^2-3x+2) ?

The domain of (2x^3+x^2-8x-4)/(x^2-3x+2) is x 2

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domain of (2x^3+x^2-8x-4)/(x^2-3x+2)

domain

\frac{2 x ^{3} + x ^{2} - 8 x - 4}{x ^{2} - 3 x + 2}

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

(1.7, 6.8), (- 9.2, - 12.1)

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

\frac{x + 2}{4}

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

f (x) = 2 x + 6 y = 2

What is the domain of (2x^3+x^2-8x-4)/(x^2-3x+2) ?
The domain of (2x^3+x^2-8x-4)/(x^2-3x+2) is x<1\lor 1<x<2\lor x>2