What is the range of \sqrt[3]{x}-3 ?

The range of \sqrt[3]{x}-3 is -infinity <f(x)<infinity

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range of \sqrt[3]{x}-3

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

x^{3} + 9 x^{2} + 27 x + 27

Find the domain of each inverse function

Domain of

x^{3} + 9 x^{2} + 27 x + 27 : - \infty < x < \infty

Combine the intervals

- \infty < f (x) < \infty

f (x) = \frac{x + 7}{x ^{2} - 4}

f (x) = lo g_{10} (x + 1)

2 x - y = - 6

(0.1) (5.5)

x + y = 105

What is the range of \sqrt[3]{x}-3 ?
The range of \sqrt[3]{x}-3 is -infinity <f(x)<infinity