What is the domain of f(x)=(5x^2-2x-10)/(x^2-5x+6) ?

The domain of f(x)=(5x^2-2x-10)/(x^2-5x+6) is x 3

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domain of f(x)=(5x^2-2x-10)/(x^2-5x+6)

domain

f (x) = \frac{5 x ^{2} - 2 x - 10}{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) = \frac{x - 8}{x ^{2} + 10 x - 24}

f (x) = x^{4} - 1

f (x) = sin (x) + \frac{1}{2}

y = sin (e^{- t})

f (x) = \frac{1}{x - 81}

What is the domain of f(x)=(5x^2-2x-10)/(x^2-5x+6) ?
The domain of f(x)=(5x^2-2x-10)/(x^2-5x+6) is x<2\lor 2<x<3\lor x>3