Question

The functions r and s are defined as follows.

r(x)= -2x-2
s(x)=2x² +2
Find the value of s (r (2)).

Answer 1

`r(x) = -2x-2\\ s(x) = 2x^2+2`

`s\big(r(2)\big) = s(-2\cdot 2-2) = s(-4-2) = s(-6) = 2\cdot(-6)^2+2 = 2\cdot 36+2 =\\ = 72+2 = 74`

`\Rightarrow \boxed{s\big(r(2)\big) = 74}`

Answer 2

• 74

Explanation:

Given functions:

• r(x) = -2x - 2
• s(x) = 2x² + 2

Find s(r(2)) in steps:

• r(2) = -2*2 - 2 = - 4 - 2 = - 6
• s(r(2)) = s(- 6) = 2(-6)² + 2 = 72 + 2 = 74