What is the domain of f(x)=3-x-2/x ?

The domain of f(x)=3-x-2/x is x 0

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domain of f(x)=3-x-2/x

domain

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

f (x) = - 1 + lo g_{3} (x + 3)

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

f (x) = 3 x^{2} - x

y = 4 x - 16

g (x) = \frac{x}{x ^{2} + 9}