Question

Please help! Show all steps please.

Answer 1

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

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 $(7.6,0)$