What is the domain of f(x)=log_{4}(x^2-4x-12) ?

The domain of f(x)=log_{4}(x^2-4x-12) is x 6

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domain of f(x)=log_{4}(x^2-4x-12)

domain

f (x) = lo g_{4} (x^{2} - 4 x - 12)

x < - 2 or x > 6

Interval Notation

(- \infty, - 2) \cup (6, \infty)

Solution steps

Find positive values for logs:

x < - 2 or x > 6

The function domain

x < - 2 or x > 6

2 x + y = 10

\frac{1}{t ^{2} + 1}

y = \frac{5}{3} x - 4

(15.2) (5.4)

f (x) = \frac{3 x}{x ^{2} - 4}

What is the domain of f(x)=log_{4}(x^2-4x-12) ?
The domain of f(x)=log_{4}(x^2-4x-12) is x<-2\lor x>6