F(x) = x ^3 + 3 x ^2+ 4 x +b sin (x) + c cos(x) is one one function for all x belogs to R (real set).?

f(x) = x ^3 + 3 x ^2+ 4 x +b sin (x) + c cos(x) is one one function for all x belogs to R (real set). Then find the greatest value of





b^ 2 + c^ 2 ?

F(x) = x ^3 + 3 x ^2+ 4 x +b sin (x) + c cos(x) is one one function for all x belogs to R (real set).?
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