Answer:52Step-by-step explanation:[tex]f(x)=4x^2-2x-4[/tex][tex]f(4)=4(4)^2-2(4)-4[/tex] (I replaced [tex]x[/tex] with [tex](4)[/tex] since we are to find [tex]f(4)[/tex].)[tex]f(4)=4(16)-2(4)-4[/tex] (By the order of operations, we take care of the exponents before whatever else we have here.)[tex]f(4)=64-8-4[/tex] (By the order of operations, we take care of the multiplication as we see if left to right.)[tex]f(4)=56-4[/tex] (By the order of operations, we perform addition/subtraction as we see it left to right.)[tex]f(4)=52[/tex] (This completes the simplification.)We could have also put this in our calculator as:4(4)^2 - 2(4) - 4This would have returned 52.