Answer
$g(11)=-5$
$g(1)=-2.24$
$g(-1)=-1$
$g(-2)=$ Not a real number.
Work Step by Step
The given function is
$g(x)=-\sqrt{2x+3}$
Plug x=11 into the function.
$g(11)=-\sqrt{2(11)+3}$
Simplify.
$g(11)=-\sqrt{22+3}$
$g(11)=-\sqrt{25}$
$g(11)=-\sqrt{5^2}$
$g(11)=-5$
Plug x=1 into the function.
$g(1)=-\sqrt{2(1)+3}$
Simplify.
$g(1)=-\sqrt{2+3}$
$g(1)=-\sqrt{5}$
Round to two decimal places.
$g(1)=-2.24$
Plug x=-1 into the function.
$g(-1)=-\sqrt{2(-1)+3}$
Simplify.
$g(-1)=-\sqrt{-2+3}$
$g(-1)=-\sqrt{1}$
$g(-1)=-\sqrt{1^2}$
$g(-1)=-1$
Plug x=-2 into the function.
$g(-2)=-\sqrt{2(-2)+3}$
Simplify.
$g(-2)=-\sqrt{-4+3}$
$g(-2)=-\sqrt{-1}$
Not a real number.