What is the range of f(x)= 6/x ?

The range of f(x)= 6/x is f(x) 0

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range of f(x)= 6/x

range

f (x) = \frac{6}{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{6}{x}

Inverse of

\frac{6}{x} : \frac{6}{x}

\frac{6}{x}

Find the domain of each inverse function

Domain of

\frac{6}{x} : x < 0 or x > 0

Combine the intervals

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

(0, - 2), (- 5, 3)

\frac{x ^{2} + 5}{x ^{2} - 2 x - 15}

f (x) = ln (x) + ln (9 - x)

- 2 x^{2} + 6000 x

9 x - 4, x \leq 0