Question

The functions r and s are defined as follows. r(x) = 2x + 1 s(x) = -2x^2+2 Find the value of s(r(3))

Answer 1

s(r(3)) = -96

Step-by-step explanation:

r(x) = 2x + 1

s(x) = -2x^2+2

s(r(3))​ means we represent x in function s with the r(3)

r(3): we replace x with 3 in function r

r(3) = 2(3) + 1

r(3) = 6 + 1

r(3) = 7

s(r(3)) = -2(7)² + 2

s(r(3)) = -2(49) + 2

s(r(3)) = -98+2

s(r(3)) = -96