What is the domain of f(x)=| 1/x | ?

The domain of f(x)=| 1/x | is x 0

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domain of f(x)=| 1/x |

domain

f (x) = \frac{1}{x}

x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (x) = \frac{4 x - 1}{5}

E (x) = x^{2} - 4 + 9 - 3 x

f (x) = \frac{3}{x + 1} g (x) = \frac{x}{x - 5}

f (x) = 2 ln (x) - ln (2 x + 8)

f (x) = ∣ x + 2 ∣ + ∣ 2 x - 2 ∣ + ∣ 5 - x ∣