Suggested Answer
[tex]{ \pink{ \boxed{ \red{ \sf{f(4) = - 7}}}}}[/tex]Step-by-step explanation:[tex]{ \green{ \sf{f(x) = { - x}^{3} + 3 {x}^{2} + 9}}}[/tex][tex]{ \green{ \sf{f(4) = ( { - 4})^{3} + 3( {4})^{2} + 9}}}[/tex][tex]{ \green{ \sf{f(4) = - 64 + 3(16) + 9}}}[/tex][tex]{ \green{ \sf{ f(4) = - 64 + 48 + 9}}}[/tex][tex]{ \green{ \sf{f(4) = - 64 + 57}}}[/tex][tex]{ \blue{ \boxed{ \orange{ \sf{f(4) = - 7}}}}}[/tex]