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

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

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

domain

f (x) = \frac{x - 4}{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) = (x + 1)^{2} - 9

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

5 (x + 3)

\frac{x}{3 x + 6}

\frac{x}{x - 2}

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