What is the domain of f(x)=(3x^2-2x-8)/(x^2+3x-10) ?

The domain of f(x)=(3x^2-2x-8)/(x^2+3x-10) is x 2

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domain of f(x)=(3x^2-2x-8)/(x^2+3x-10)

domain

f (x) = \frac{3 x ^{2} - 2 x - 8}{x ^{2} + 3 x - 10}

x < - 5 or - 5 < x < 2 or x > 2

Interval Notation

(- \infty, - 5) \cup (- 5, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 5

The function domain

x < - 5 or - 5 < x < 2 or x > 2

y = 8 x - 2

2 cos (3 x + π)

lo g_{10} (2) (x + 2) + 5

2 sin (\frac{1}{4}) (y + \frac{π}{4}) - 1

f (x) = x + 2 - 3 x + 2

What is the domain of f(x)=(3x^2-2x-8)/(x^2+3x-10) ?
The domain of f(x)=(3x^2-2x-8)/(x^2+3x-10) is x<-5\lor-5<x<2\lor x>2