Question

The functions r and s are defined as follows. R(x)=x-1. And. S(x)=-x squared. Find the value of r(s(-2))

Answer 1

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):

$S(x)=-x^2\\S(-2)=-(-2)^2\\S(-2)=-4$

Now, we take the value (-4) and put it into R(x) to get our final answer:

$R(x)=x-1\\R(-4)=-4-1\\R(-4)=-5$

Hence, r(s(-2)) = -5