What is the domain of f(x)=(x+6)/(x^2-9x+18) ?

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

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

domain

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

2^{\frac{1}{2}} x^{\frac{1}{2}} + 5

\frac{x ^{2} - 2 x}{( x - 1 ) ^{2}}

f (x) = ln (- 3 x + 2)

y = 2 x - 3

g (x) = 2 x^{2} - 3

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