What is the domain of f(x)=(4+6x+x^2)/(2x) ?

The domain of f(x)=(4+6x+x^2)/(2x) is x 0

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domain of f(x)=(4+6x+x^2)/(2x)

domain

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

x^{2} + 2 x

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

f (x) = lo g_{10} (9 - x)

\frac{1}{x ^{2} - 25}

x^{4} + 4

What is the domain of f(x)=(4+6x+x^2)/(2x) ?
The domain of f(x)=(4+6x+x^2)/(2x) is x<0\lor x>0