What is the domain of f(x)=(x-1)/(x^2-9x+18) ?

The domain of f(x)=(x-1)/(x^2-9x+18) is x 6

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domain of f(x)=(x-1)/(x^2-9x+18)

domain

f (x) = \frac{x - 1}{x ^{2} - 9 x + 18}

x < 3 or 3 < x < 6 or x > 6

Interval Notation

(- \infty, 3) \cup (3, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = 3

The function domain

x < 3 or 3 < x < 6 or x > 6

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

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

(x - 1) (x - 2) (x - 3) (x - 4)

10 - \frac{1}{5 x}

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

What is the domain of f(x)=(x-1)/(x^2-9x+18) ?
The domain of f(x)=(x-1)/(x^2-9x+18) is x<3\lor 3<x<6\lor x>6