What is the domain of f(x)=(1-3x)/(x^3-4x^2-5x) ?

The domain of f(x)=(1-3x)/(x^3-4x^2-5x) is x 5

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domain of f(x)=(1-3x)/(x^3-4x^2-5x)

domain

f (x) = \frac{1 - 3 x}{x ^{3} - 4 x ^{2} - 5 x}

x < - 1 or - 1 < x < 0 or 0 < x < 5 or x > 5

Interval Notation

(- \infty, - 1) \cup (- 1, 0) \cup (0, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 1, x = 5

The function domain

x < - 1 or - 1 < x < 0 or 0 < x < 5 or x > 5

\frac{\frac{2}{x}}{\frac{4}{x + 4}}

f (x) = (x - 1)^{(2)} + 3

3 w (2 - 3 u) = 6 u - 3

∣ - 19 + 6 x ∣

f (x) = \frac{- 4 x - 7}{7 x - 3}

What is the domain of f(x)=(1-3x)/(x^3-4x^2-5x) ?
The domain of f(x)=(1-3x)/(x^3-4x^2-5x) is x<-1\lor-1<x<0\lor 0<x<5\lor x>5