What is the domain of f(x)=log_{4}(x^2-16) ?

The domain of f(x)=log_{4}(x^2-16) is x 4

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domain of f(x)=log_{4}(x^2-16)

domain

f (x) = lo g_{4} (x^{2} - 16)

x < - 4 or x > 4

Interval Notation

(- \infty, - 4) \cup (4, \infty)

Solution steps

Find positive values for logs:

x < - 4 or x > 4

The function domain

x < - 4 or x > 4

f (x) = ∣ x - 3 ∣ - 3

f (x) = cot (\frac{1}{3} (x - \frac{π}{2}))

x^{2} + 6 x

x^{2} + 3 x

3^{x - 1}

What is the domain of f(x)=log_{4}(x^2-16) ?
The domain of f(x)=log_{4}(x^2-16) is x<-4\lor x>4