What is the domain of f(x)=log_{10}(x^3-x) ?

The domain of f(x)=log_{10}(x^3-x) is -1 1

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domain of f(x)=log_{10}(x^3-x)

domain

f (x) = lo g_{10} (x^{3} - x)

- 1 < x < 0 or x > 1

Interval Notation

(- 1, 0) \cup (1, \infty)

Solution steps

Find positive values for logs:

- 1 < x < 0 or x > 1

The function domain

- 1 < x < 0 or x > 1

f (x) = 5 x - 5

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

2 x^{2} - x + 2

f (x) = - x^{3} + 9 x^{2} - 53

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

What is the domain of f(x)=log_{10}(x^3-x) ?
The domain of f(x)=log_{10}(x^3-x) is -1<x<0\lor x>1