Answer: First option is correct.
Step-by-step explanation:
Since we have given that
[tex]r(x)=2-x^2\\\\w(x)=x-2[/tex]
we need to find the composition of function w and r i.e.
[tex]w\circ r=w(r(x))=w(2-x^2)=2-x^2-2=-x^2[/tex]
Since the range of [tex]-x^2[/tex] must be [tex](-\infty,0}[/tex].
As its values can be any negative real number in this interval.
Hence, first option is correct.
