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

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

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

domain

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

5 x + 6 + 1 - 8 x

y = \frac{5 - x}{- 4 x + 8}

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

f (x) = x^{2} y^{2} - 16 y^{2} + x - 8 = 0

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

What is the domain of f(x)=(| 1/x |)/(1/x) ?
The domain of f(x)=(| 1/x |)/(1/x) is x<0\lor x>0