What is the range of-1/x ?

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range of-1/x

range

- \frac{1}{x}

f (x) < 0 or f (x) > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

- \frac{1}{x}

Inverse of

- \frac{1}{x} : - \frac{1}{x}

- \frac{1}{x}

Find the domain of each inverse function

Domain of

- \frac{1}{x} : x < 0 or x > 0

Combine the intervals

f (x) < 0 or f (x) > 0

(- 2.11) \frac{- 4}{3}

\frac{2}{x ^{2} + 2}

(1.2) (3.4)

f (x) = [- 20, 30, 4] [- 30, 30, 5]

x + \frac{2}{x}