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

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

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

domain

\frac{x}{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

f (x) = \frac{5 x}{100 - x}

2^{s i n (x)}

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

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

f (x) = \frac{x + 1}{x - 4 x}

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