What is the range of f(x)= 1/x ?

The range of f(x)= 1/x is f(x) 0

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range of f(x)= 1/x

range

f (x) = \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

\frac{2}{x + 2}

x^{2} 5 + x

- 2 x^{2} + 3 x - 1

(1, 3), (4, - 3)

(- 2, - 8), (4, 4)