What is the range of \sqrt[3]{x-3}-2 ?

The range of \sqrt[3]{x-3}-2 is -infinity <f(x)<infinity

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range of \sqrt[3]{x-3}-2

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} + 6 x^{2} + 12 x + 11

Find the domain of each inverse function

Domain of

x^{3} + 6 x^{2} + 12 x + 11 : - \infty < x < \infty

Combine the intervals

- \infty < f (x) < \infty

y = 120 sin (20 π t - \frac{π}{2})

f (x) = \frac{- 3}{x + 9} - 6

y = 487

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

y = x^{2} + 4 x - 1

What is the range of \sqrt[3]{x-3}-2 ?
The range of \sqrt[3]{x-3}-2 is -infinity <f(x)<infinity