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

The domain of f(x)=(x^2+9x+18)/(2x^2-18) is x 3

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

domain

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

x < - 3 or - 3 < x < 3 or x > 3

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

x < - 3 or - 3 < x < 3 or x > 3

f (x) = ln (9 t^{2} - 64)

f (x) = \frac{- 18 x - 21}{5 x + 6}

f (x) = 60 x + 4500

2 - x - lo g_{5} (12 - x^{2})

\frac{3 x + 1}{x}

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