Ionly need this one to finish the section
the functions r and s are defined as follows.
r(x) = -2x + 1
s(x) = -x^2 + 2
find the value of .
r(s(3))

The value of r(s(3)) = -21

Step-by-step explanation:

It is given that,

r(x) = -2x + 1

s(x) = -x^2 + 2

To find the value of r(s(3))

s(x) = -x^2 + 2

s(3) = (-3)^2 + 2    [Substitute 3 instead of x]

 = 9 + 2

 = 11

Therefore s(3) = 11

r(x) = -2x + 1

r(s(3)) = r(11)   [Substitute 11 instead of x]

 =   -2(11) + 1

 = -22 + 1

  = -21

Therefore the value of r(s(3)) = -21

The answer is:

To solve the problem, first, we need to compose the functions, and then evaluate the obtained function. Composing function means evaluating a function into another function.

We have that:

From the statement we know the functions:

We need to evaluate the function "s" into the function "r", so:

Now, evaluating the function, we have:

Have a nice day!

i need a picure

step-by-step explanation: