What is the range of f(x)=\sqrt[5]{x/6} ?

The range of f(x)=\sqrt[5]{x/6} is -infinity <f(x)<infinity

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range of f(x)=\sqrt[5]{x/6}

range

- \infty < f (x) < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

Inverse of

6 x^{5}

Find the domain of each inverse function

Domain of

6 x^{5} : - \infty < x < \infty

Combine the intervals

- \infty < f (x) < \infty

x = - 6

9 - x

2 x + 4 y = 6 x - y

f (x) = \frac{2}{x + 1} - 1 - x

2^{- x} + 4

What is the range of f(x)=\sqrt[5]{x/6} ?
The range of f(x)=\sqrt[5]{x/6} is -infinity <f(x)<infinity