ANSWER
The correct a sweet is 7
EXPLANATION
The given algebraic expression is;
[tex]f(x) = - 3 {x}^{3} - 4x[/tex]
To evaluate this function for f means, we should substitute x=-1 wherever we see x in the given expression.
[tex] f( - 1) = - 3 { (-1 )}^{3} - 4( - 1)[/tex]
[tex]f( - 1) = - 3 { (-1 )} - 4( - 1)[/tex]
This simplifies to
[tex]f( - 1) = 3 + 4[/tex]
[tex]f( - 1) = 7[/tex]
The correct answer is 7