What is the domain of f(x)=log_{3}(x^2-3x-18) ?

The domain of f(x)=log_{3}(x^2-3x-18) is x 6

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domain of f(x)=log_{3}(x^2-3x-18)

domain

f (x) = lo g_{3} (x^{2} - 3 x - 18)

x < - 3 or x > 6

Interval Notation

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

Solution steps

Find positive values for logs:

x < - 3 or x > 6

The function domain

x < - 3 or x > 6

g (x) = 4 x - 9

f (x) = 1 + 3 x

f (x) = (x - 2) 2

h (x) = \frac{x - 6}{x - 5}

\frac{- 5}{x - 3}

What is the domain of f(x)=log_{3}(x^2-3x-18) ?
The domain of f(x)=log_{3}(x^2-3x-18) is x<-3\lor x>6