What is the domain of f(x)=(x-9)/x ?

The domain of f(x)=(x-9)/x is x 0

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domain of f(x)=(x-9)/x

domain

f (x) = \frac{x - 9}{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) = 2 \cdot π \cdot x^{2} + 12 \cdot π \cdot x

f (x) = \frac{2 \cdot x - 3}{( x - 5 ) \cdot ( x + 5 )}

\frac{2 x}{x - 4} - \frac{x}{x + 5}

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

f (x) = \frac{9 - 4 x}{x - 4}