What is the range of f(x)= 9/x ?

The range of f(x)= 9/x is f(x) 0

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range of f(x)= 9/x

range

f (x) = \frac{9}{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{9}{x}

Inverse of

\frac{9}{x} : \frac{9}{x}

\frac{9}{x}

Find the domain of each inverse function

Domain of

\frac{9}{x} : x < 0 or x > 0

Combine the intervals

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

\frac{x ^{2} - 3 x}{2 x ^{2} + 2 x - 12}

f (x) = e^{x - 7}

f (x) = \frac{4}{x + 8} \cdot \frac{4}{x + 8}

f (x) = 3 x^{2} - 54 x + 241

f (x) = \frac{1}{x + 4}