Question 83997
Lets first find {{{g(3)}}} which is the inner function


{{{g(3)=-12x^3 + 11x^2 - 12x - 11}}} Start with the given equation


{{{g(3)=-12(3)^3 + 11(3)^2-12(3) - 11}}} Plug in x=3


{{{g(3)=-12*27+ 11*9-12*3 - 11}}} Square and cube 3


{{{g(3)=-324 + 99-36 -11}}} Multiply 


{{{g(3)=-272}}} Combine like terms


Since {{{g(3)=-272}}}, {{{f(g(3))=f(-272)}}}


So lets find {{{f(-272)}}}


{{{f(-272)=13x - 10}}} Start with the given equation


{{{f(-272)=13(-272) - 10}}} Plug in x=-272


{{{f(-272)=-3536 - 10}}} Multiply 


{{{g(-272)=-3546}}} Combine like terms


So {{{f(g(3))=-3546}}}