What is the domain of f(x)=(x+5)/(x^3-x^2-4x+4) ?

The domain of f(x)=(x+5)/(x^3-x^2-4x+4) is x 2

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domain of f(x)=(x+5)/(x^3-x^2-4x+4)

domain

f (x) = \frac{x + 5}{x ^{3} - x ^{2} - 4 x + 4}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1, x = - 2, x = 2

The function domain

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

3 x^{2} + x - 5

f (4) = 2 x - 10

f (x) = x^{3} - 27 - 1

f (x) = ∣ 2 x - 3 ∣

f (x) = cos (x) + 4

What is the domain of f(x)=(x+5)/(x^3-x^2-4x+4) ?
The domain of f(x)=(x+5)/(x^3-x^2-4x+4) is x<-2\lor-2<x<1\lor 1<x<2\lor x>2