What is the domain of f(x)=log_{10}(x^2-9) ?

The domain of f(x)=log_{10}(x^2-9) is x 3

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domain of f(x)=log_{10}(x^2-9)

domain

f (x) = lo g_{10} (x^{2} - 9)

x < - 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (3, \infty)

Solution steps

Find positive values for logs:

x < - 3 or x > 3

The function domain

x < - 3 or x > 3

f (x) = \frac{1 + x}{x ^{2} - 4}

\frac{x ^{3}}{x + 1}

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

f (x) = 10 x - 4

f (x) = \frac{x + 1}{x ^{2} - 4}

What is the domain of f(x)=log_{10}(x^2-9) ?
The domain of f(x)=log_{10}(x^2-9) is x<-3\lor x>3