What is the domain of (x^3-64)/(x^2-5x+4) ?

The domain of (x^3-64)/(x^2-5x+4) is x 4

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domain of (x^3-64)/(x^2-5x+4)

domain

\frac{x ^{3} - 64}{x ^{2} - 5 x + 4}

x < 1 or 1 < x < 4 or x > 4

Interval Notation

(- \infty, 1) \cup (1, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = 1

The function domain

x < 1 or 1 < x < 4 or x > 4

\frac{- 12 d - 1}{10 d + 5}

y = 2 - x

f (x) = \frac{1}{10 x - 20}

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

f (x) = \frac{- 4 x + 7}{5 x - 2}

What is the domain of (x^3-64)/(x^2-5x+4) ?
The domain of (x^3-64)/(x^2-5x+4) is x<1\lor 1<x<4\lor x>4