If `g(x)=(4cos^4x-2cos2x-1/2cos4x-x^7)^(1/7)` then the value of `g(g(100))` is equal to

If f(x)=(4cos^(4)x-2cos2x-(1)/(2)cos4x-x^(7))^((1)/(7)) then

Let a=sin^(-)(sin3)+sin^(-1)(sin4)+sin^(-1)(sin5),f(x)=e^(x^(2)+|x|), domain of f(x) be [a,oo) & range of f(x) be [b,oo) and g(x)=(4cos^(4)x-2cos2x-1/4"cos"4x-x^(7))^(1//7) , domain & range of g(x) is set of real numbers. Which of the following are correct

If f(x)=(4cos^(4)x-2cos^(2)x-(1)/(2)cos4x+2sin^(2)x-x^(9))^((1)/(9)) then the value of f(f(2)) is equal to

Let f(x)=sin^(-1)((2x)/(1+x^(2))) and g(x)=cos^(-1)((x^(2)-1)/(x^(2)+1)) . Then tha value of f(10)-g(100) is equal to

Let f(x)=sin^(-1)((2x)/(1+x^(2))) and g(x)=cos^(-1)((x^(2)-1)/(x^(2)+1)) . Then tha value of f(10)-g(100) is equal to

Let f(x)=sin^(-1)((2x)/(1+x^(2))) and g(x)=cos^(-1)((x^(2)-1)/(x^(2)+1)) . Then tha value of f(10)-g(100) is equal to

If g(x)=cos x cos2x cos4x cos8x then g'((pi)/(4))=