Answer:
-5
Step-by-step explanation:
"r(s(-2))" is a composition of functions. To evaluate this, we need to plug in "-2" into the function S(x) and then take that value and further plug it into R(x).
First, s(-2):
[tex]S(x)=-x^2\\S(-2)=-(-2)^2\\S(-2)=-4[/tex]
Now, we take the value (-4) and put it into R(x) to get our final answer:
[tex]R(x)=x-1\\R(-4)=-4-1\\R(-4)=-5[/tex]
Hence, r(s(-2)) = -5
