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

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

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

domain

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

f (x) = (x + 2)^{3} - 1

f (x) = \frac{5}{1 - e ^{1 - x^{2}}}

f (x) = - \frac{3}{x - 3}

f (x) = \frac{x ^{2} + 1}{x + 3}

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