What is the domain of f(x)=(x^2+4x+4)/(2x) ?

The domain of f(x)=(x^2+4x+4)/(2x) is x 0

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domain of f(x)=(x^2+4x+4)/(2x)

domain

f (x) = \frac{x ^{2} + 4 x + 4}{2 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

\frac{∣ x ∣}{∣ x ∣ - 5}

f (x) = \frac{4 + x}{2 - x}

f (x) = \frac{x ^{2}}{6} + 4

\frac{x}{- 4 x + 7}

\frac{6 x ^{2} + 7 x - 3}{3 x ^{2} - 4 x + 1}

What is the domain of f(x)=(x^2+4x+4)/(2x) ?
The domain of f(x)=(x^2+4x+4)/(2x) is x<0\lor x>0