What is the domain of ((x+2)(x+1)^2)/((x+2)(x-3)) ?

The domain of ((x+2)(x+1)^2)/((x+2)(x-3)) is x 3

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domain of ((x+2)(x+1)^2)/((x+2)(x-3))

domain

\frac{( x + 2 ) ( x + 1 ) ^{2}}{( x + 2 ) ( x - 3 )}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 2, x = 3

The function domain

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

f (x) = \frac{11}{x ^{2} - 100}

x^{2} + 1, x < 0

4 x + 1 - x

f (x) = \frac{3 ( x + 7 ) \cdot ( x - 2 )}{( x - 3 )}

f (x) = 2^{x} - 7

What is the domain of ((x+2)(x+1)^2)/((x+2)(x-3)) ?
The domain of ((x+2)(x+1)^2)/((x+2)(x-3)) is x<-2\lor-2<x<3\lor x>3