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

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

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

domain

\frac{2 x ^{2} + x}{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

lo g_{10} (\frac{6 x}{x + 5})

f (x) = \frac{5}{4 6 x}

f (x) = - 5 x^{2} + 8 x + 4

f (x) = 8 x + 4

f (x) = x + x - 4

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