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

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

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range of 1/((x-3)^3)

range

\frac{1}{( x - 3 ) ^{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 - 3 ) ^{3}}

Inverse of

Find the domain of each inverse function

Domain of

Combine the intervals

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

\frac{2}{x + 7}

f (x) = x^{3} - 4 x^{2} + 6 x + 60

f (x) = e^{5 x}

(\frac{1}{2})^{x} - 2

f (x) = 1 + \frac{14}{x}

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