What is the range of 1/((x+2)^3) ?

The range of 1/((x+2)^3) is f(x) 0

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range of 1/((x+2)^3)

range

\frac{1}{( x + 2 ) ^{3}}

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{1}{( x + 2 ) ^{3}}

Inverse of

Find the domain of each inverse function

Domain of

Combine the intervals

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

(- \frac{1}{9}, - \frac{1}{2}), (\frac{14}{9}, \frac{4}{3})

f (x) = \frac{1}{x ^{2} + 4 x + 3}

e^{\frac{1}{x}}

f (x) = 1 - 2 x^{2}

y = sec (x)

What is the range of 1/((x+2)^3) ?
The range of 1/((x+2)^3) is f(x)<0\lor f(x)>0