What is the domain of f(x)=(4x+x^2)/(x^2-x-2) ?

The domain of f(x)=(4x+x^2)/(x^2-x-2) is x 2

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domain of f(x)=(4x+x^2)/(x^2-x-2)

domain

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

x < - 1 or - 1 < x < 2 or x > 2

Interval Notation

(- \infty, - 1) \cup (- 1, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 1

The function domain

x < - 1 or - 1 < x < 2 or x > 2

f (x) = - \frac{x}{∣ x ∣}

f (x) = \frac{1}{x ^{4} + 2}

y = \frac{x ^{2}}{x + 3}

y = (25 - 4 x^{2}) + 4

\frac{9}{3 x - 1}

What is the domain of f(x)=(4x+x^2)/(x^2-x-2) ?
The domain of f(x)=(4x+x^2)/(x^2-x-2) is x<-1\lor-1<x<2\lor x>2