What is the domain of f(x)=(7x+|x|)/x ?

The domain of f(x)=(7x+|x|)/x is x 0

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domain of f(x)=(7x+|x|)/x

domain

f (x) = \frac{7 x + ∣ x ∣}{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{1}{2} sin (2 x) - cos (x)

\frac{1}{\frac{5}{- 8 x - 10} + 2}

f (x) = \frac{x - 3}{x ^{2} - 2 x - 15}

\frac{2}{3} x^{3} + 2 x^{2} + 6 x - 5

f (x) = tan (2 x + 1)

What is the domain of f(x)=(7x+|x|)/x ?
The domain of f(x)=(7x+|x|)/x is x<0\lor x>0