What is the domain of f(x)=log_{10}(x^2-16) ?

The domain of f(x)=log_{10}(x^2-16) is x 4

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domain of f(x)=log_{10}(x^2-16)

domain

f (x) = lo g_{10} (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) = - 2 x

f (x) = x^{2} - 8 x + 16

x^{2} + 2 x - 8

f (x) = \frac{2}{x ^{2} - 7 x + 10}

f (x) = lo g_{10} (2) (x + 1)

What is the domain of f(x)=log_{10}(x^2-16) ?
The domain of f(x)=log_{10}(x^2-16) is x<-4\lor x>4