[tex]\sqrt[3]{27x-81} -5[/tex]
Let's start by simplifying the expressions inside the root. Use distributive property.
[tex]\sqrt[3]{27(x-3)} -5[/tex]
Isolate the square root terms.
[tex]\sqrt[3]{27} \sqrt[3]{x-3}[/tex]
Simplify:
[tex]3\sqrt[3]{x-3} -5[/tex]
The graph looks of this function, if we assume that
[tex]f(x) = 3\sqrt[3]{x-3} -5[/tex]
It looks like a cubic root function that has the domain and range of all real numbers and passes through [tex](0, -9.3)[/tex] and [tex](7.6,0)[/tex]
