What is the domain of f(x)=(x-6)/(x^2-7x+6) ?

The domain of f(x)=(x-6)/(x^2-7x+6) is x 6

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domain of f(x)=(x-6)/(x^2-7x+6)

domain

f (x) = \frac{x - 6}{x ^{2} - 7 x + 6}

x < 1 or 1 < x < 6 or x > 6

Interval Notation

(- \infty, 1) \cup (1, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = 1

The function domain

x < 1 or 1 < x < 6 or x > 6

f (x) = \frac{x - 2}{x + 6}

∣ 2 x + 1 ∣

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

- 3 x - 12

What is the domain of f(x)=(x-6)/(x^2-7x+6) ?
The domain of f(x)=(x-6)/(x^2-7x+6) is x<1\lor 1<x<6\lor x>6