The two compositions for the functions are:
[tex](p\°q)(2) = -6\\\\(q\°p)(2) = 6[/tex]
How to get the compositions?
When we have two functions q(x) and p(x), the composition is:
[tex](q\°p)(x) = q(p(x))[/tex]
Here we have:
[tex]p(x) = -x\\\\q(x) = 2x^2 - 2[/tex]
The first composition is:
[tex](q\°p)(2) = q(p(2)) = 2*(p(2))^2 - 2 = 2*(-2)^2 - 2 = 6[/tex]
The other composition is:
[tex](p\°q)(2) = p(q(2)) = -(q(2)) = -(2*2^2 - 2) = -(8 - 2) = -6[/tex]
If you want to learn more about compositions:
https://brainly.com/question/10687170
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