Answer
$g(2)=-2$
$g(1)=0$
$g(0)=2$.
Work Step by Step
The given function is
$g(x)=-\sqrt[3] {8x-8}$
Plug $x=2$ into the function.
$g(2)=-\sqrt[3] {8(2)-8}$
Simplify.
$g(2)=-\sqrt[3] {16-8}$
$g(2)=-\sqrt[3] {8}$
$g(2)=-\sqrt[3] {2^3}$
$g(2)=-2$
Plug $x=1$ into the function.
$g(1)=-\sqrt[3] {8(1)-8}$
Simplify.
$g(1)=-\sqrt[3] {8-8}$
$g(1)=-\sqrt[3] {0}$
$g(1)=-0$
$g(1)=0$
Plug $x=0$ into the function.
$g(0)=-\sqrt[3] {8(0)-8}$
Simplify.
$g(0)=-\sqrt[3] {0-8}$
$g(0)=-\sqrt[3] {-8}$
$g(0)=-\sqrt[3] {(-2)^3}$
$g(0)=-(-2)$
$g(0)=2$.
