ANSWER
[tex]g(x) = - \sqrt{x + 3} + 8[/tex]
EXPLANATION
The given function is
[tex]f(x) = - 2 \sqrt{x - 3} + 8[/tex]
The vertex of this function is (3,8)
This function opens downwards so its range is
[tex]y \leqslant 8[/tex]
The function
[tex]g(x) = - \sqrt{x + 3} + 8[/tex]
also has vertex (-3,8)
This function is also reflected in the x-axis. Its range is;
[tex]y \leqslant 8[/tex]
The correct answer is C
