1 Answer

Santhosh Hirekerur · Answer 1 · 2021-03-07T12:58:03+0000

$\sqrt[3]{27x-81} -5$

Let's start by simplifying the expressions inside the root. Use distributive property.

$\sqrt[3]{27(x-3)} -5$

Isolate the square root terms.

$\sqrt[3]{27} \sqrt[3]{x-3}$

Simplify:

$3\sqrt[3]{x-3} -5$

The graph looks of this function, if we assume that

$f(x) = 3\sqrt[3]{x-3} -5$

It looks like a cubic root function that has the domain and range of all real numbers and passes through
(0, -9.3) and
(7.6,0)

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