What is the domain of (2x-1)/(x^2-5x+6) ?

The domain of (2x-1)/(x^2-5x+6) is x 3

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domain of (2x-1)/(x^2-5x+6)

domain

\frac{2 x - 1}{x ^{2} - 5 x + 6}

x < 2 or 2 < x < 3 or x > 3

Interval Notation

(- \infty, 2) \cup (2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = 2

The function domain

x < 2 or 2 < x < 3 or x > 3

f (x) = - 3 x^{2} + 360 x

\frac{x ^{3} + 5 x ^{2} + 1}{x ^{4} + x ^{3} - x ^{2} + 2}

f (x) = (1 - x) e^{x}

y = \frac{9 x}{x ^{2} + 4 x - 5}

f (x) = \frac{3 x}{8}

What is the domain of (2x-1)/(x^2-5x+6) ?
The domain of (2x-1)/(x^2-5x+6) is x<2\lor 2<x<3\lor x>3