What is the domain of f(x)=| 1/(x-3)| ?

The domain of f(x)=| 1/(x-3)| is x 3

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domain of f(x)=| 1/(x-3)|

domain

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

x < 3 or x > 3

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

\frac{7 x}{8 x - 9}

f (x) = lo g_{10} (2 x + 7)

f (x) = \frac{3 x - 8}{x - 5}

f (x) = - 4 x + 4

What is the domain of f(x)=| 1/(x-3)| ?
The domain of f(x)=| 1/(x-3)| is x<3\lor x>3