If f(x) = 2x +|x| , g(x) =1/3 (2x -|x|) ...

If `f(x) = 2x +|x| , g(x) =1/3 (2x -|x|) and h(x) =f (g(x))`, then domian of `sin^(-1)underset("n times")(underbrace((h(h(h(h...h(x)...))))))` is

A

a) `[-1,1]`

B

b) `[-1,-1/2]cup[1/2,1]`

C

c) `[-1,-1/2]`

D

d) `[1/2,1]`

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The correct Answer is:

A

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