What is the domain of (x+5)/((x-1)(x+2)) ?

The domain of (x+5)/((x-1)(x+2)) is x 1

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domain of (x+5)/((x-1)(x+2))

domain

\frac{x + 5}{( x - 1 ) ( x + 2 )}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1, x = - 2

The function domain

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

p (x) = x^{2} - 2 x + 10

sin (x - 4)

f (x) = \frac{( t - 4 )}{4 t - 24}

\frac{4 x ^{2} + 28 x + 40}{x + 5}

f (x) = \frac{x - 8}{x ^{2} - 3 x - 40}

What is the domain of (x+5)/((x-1)(x+2)) ?
The domain of (x+5)/((x-1)(x+2)) is x<-2\lor-2<x<1\lor x>1