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

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

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

domain

\frac{( x ^{2} - 2 x )}{x ^{2} + x - 6}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2, x = - 3

The function domain

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

f (x) = \frac{- 3 - 5 y}{3 y - 4}

f (x) = \frac{5 x + 18}{x ^{2} + 5 x - 6}

f (x) = \frac{4 x ^{2} + 23 x - 56}{x ^{2} - 4 x - 32}

y = \frac{5}{x ^{2} + x - 12}

U (d) = - 0.33 d^{2} + 7 d + 30, d > 0

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