What is the range of f(x)= 3/x ?

The range of f(x)= 3/x is f(x) 0

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range of f(x)= 3/x

range

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

Inverse of

\frac{3}{x} : \frac{3}{x}

\frac{3}{x}

Find the domain of each inverse function

Domain of

\frac{3}{x} : x < 0 or x > 0

Combine the intervals

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

f (x) = \frac{6}{( x - 1 ) ^{3}}

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

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

f (x) = x^{2} - 10 x + 25

4 x^{2} + 32 x + 61