Answer:
[tex](f + g)(2) = 21[/tex]
Step-by-step explanation:
[tex]f(x) = -x^2 - 4x +2[/tex]
[tex]g(x) = 4x^2 + 5x + 5[/tex]
Required
[tex](f + g)(2)[/tex]
This is calculated as:
[tex](f + g)(2) = f(2) + g(2)[/tex]
Where:
[tex]f(2) = -2^2 - 4*2 +2 = -10[/tex]
[tex]g(2) = 4*2^2 + 5*2 + 5 = 31[/tex]
So:
[tex](f + g)(2) = f(2) + g(2)[/tex]
[tex](f + g)(2) = -10 + 31[/tex]
[tex](f + g)(2) = 21[/tex]
