What is the domain of f(x)=8+(ln(x^2-16))^2 ?

The domain of f(x)=8+(ln(x^2-16))^2 is x 4

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domain of f(x)=8+(ln(x^2-16))^2

domain

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

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

\frac{x + 4}{x ^{2} - 8 x + 16}

\frac{1}{x ^{2} - 49}

ln (x) + 5

f (y) = - 2 x

\frac{2 x + 1}{x - 4}

What is the domain of f(x)=8+(ln(x^2-16))^2 ?
The domain of f(x)=8+(ln(x^2-16))^2 is x<-4\lor x>4