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) = x^{3} + 2 x^{2} + x

f (x) = 6 x^{4} + 6 x^{3}

f (x) = x^{3} + 3 x^{2} + 1

6 x - x^{2} - 5

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

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