What is the domain of f(x)=(x-4)/x ?

The domain of f(x)=(x-4)/x is x 0

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domain of f(x)=(x-4)/x

domain

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

g (x) = \frac{1}{x} - \frac{3}{x + 2}

f (x) = - 3^{- x}

f (x) = x^{2} + \frac{16}{x}

\frac{5 x + 25}{9}

f (r) = 3.14 r^{2}