ANSWER
[tex]f( - 9) = 7[/tex]
EXPLANATION
The given function is
[tex]f(x) = - {x}^{2} - 10x - 2[/tex]
To find f(-9), we substitute x=-9 into the function to obtain:
[tex]f( - 9) = - ( - 9) ^{2} - 10( - 9) - 2[/tex]
Simplify:
[tex]f( - 9) = - 81 + 90- 2[/tex]
Simplify further;
[tex]f( - 9) = 7[/tex]
