What is the range of 1/(1+s^3) ?

The range of 1/(1+s^3) is f(s) 0

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range of 1/(1+s^3)

range

f (s) < 0 or f (s) > 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}{1 + s ^{3}}

Inverse of

\frac{1}{1 + s ^{3}} : 3 \frac{1 - s}{s}

3 \frac{1 - s}{s}

Find the domain of each inverse function

Domain of

3 \frac{1 - s}{s} : s < 0 or s > 0

Combine the intervals

f (s) < 0 or f (s) > 0