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

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

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

Find the domain of each inverse function

Domain of

Combine the intervals

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

16 - x^{2} - x + 1

f (x) = 5 - x - x^{2} - 4

3 x^{3} - 9 x + 1

3 cos (4 x)

f (x) = x^{4} - 18 x^{2}