What is the domain of f(x)=(x^2-2x+1)/(x(x+1)-12) ?

The domain of f(x)=(x^2-2x+1)/(x(x+1)-12) is x 3

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domain of f(x)=(x^2-2x+1)/(x(x+1)-12)

domain

f (x) = \frac{x ^{2} - 2 x + 1}{x ( x + 1 ) - 12}

x < - 4 or - 4 < x < 3 or x > 3

Interval Notation

(- \infty, - 4) \cup (- 4, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 4

The function domain

x < - 4 or - 4 < x < 3 or x > 3

What is the domain of f(x)=(x^2-2x+1)/(x(x+1)-12) ?
The domain of f(x)=(x^2-2x+1)/(x(x+1)-12) is x<-4\lor-4<x<3\lor x>3