What is the domain of (x^2-11x+18)/(x^2+2x-8) ?

The domain of (x^2-11x+18)/(x^2+2x-8) is x 2

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domain of (x^2-11x+18)/(x^2+2x-8)

domain

\frac{x ^{2} - 11 x + 18}{x ^{2} + 2 x - 8}

x < - 4 or - 4 < x < 2 or x > 2

Interval Notation

(- \infty, - 4) \cup (- 4, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 4

The function domain

x < - 4 or - 4 < x < 2 or x > 2

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

f (x) = \frac{5 x}{x ^{2} + 81}

7 x^{2} - 7 x

y = - \frac{1}{x}

f (x) = \frac{ln ( x + 1 )}{x - 3 + 2 x}

What is the domain of (x^2-11x+18)/(x^2+2x-8) ?
The domain of (x^2-11x+18)/(x^2+2x-8) is x<-4\lor-4<x<2\lor x>2