What is the domain of f(x)=log_{8}(x^2-2x-48) ?

The domain of f(x)=log_{8}(x^2-2x-48) is x 8

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domain of f(x)=log_{8}(x^2-2x-48)

domain

f (x) = lo g_{8} (x^{2} - 2 x - 48)

x < - 6 or x > 8

Interval Notation

(- \infty, - 6) \cup (8, \infty)

Solution steps

Find positive values for logs:

x < - 6 or x > 8

The function domain

x < - 6 or x > 8

ln \frac{x + 2}{x - 1}

r (x) = \frac{x + 2}{x ^{2} - 3 x - 28}

f (x) = \frac{9 x}{∣ x ∣}

f (x) = ln (6 x - 6)

3 x^{2} \cdot x + 7

What is the domain of f(x)=log_{8}(x^2-2x-48) ?
The domain of f(x)=log_{8}(x^2-2x-48) is x<-6\lor x>8