What is the domain of f(x)=(2x+1)/x ?

The domain of f(x)=(2x+1)/x is x 0

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domain of f(x)=(2x+1)/x

domain

f (x) = \frac{2 x + 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{x + 11 - 5 5}{x + 1}

x^{2} + 10 x + 9

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

f (x) = \frac{x - 1}{x ( x ^{2} - 2 x - 15 )}

\frac{x ^{2} + x - 6}{( x + 8 ) ( x ^{2} - x - 2 )}

What is the domain of f(x)=(2x+1)/x ?
The domain of f(x)=(2x+1)/x is x<0\lor x>0