What is the domain of f(x)=log_{10}(|x|) ?

The domain of f(x)=log_{10}(|x|) is x 0

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domain of f(x)=log_{10}(|x|)

domain

f (x) = lo g_{10} (∣ x ∣)

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find positive values for logs:

x < 0 or x > 0

The function domain

x < 0 or x > 0

f (x) = \frac{3 x + 2}{x ^{2} - 4}

g (x) = \frac{1}{x - 9}

f (x) = - (x + 2)^{5} (x - 4)^{4}

f (x) = x^{4} - 2 x^{2} + 3

f (x) = \frac{3 - x}{∣ 2 x - 5 ∣}

What is the domain of f(x)=log_{10}(|x|) ?
The domain of f(x)=log_{10}(|x|) is x<0\lor x>0