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It is a periodic function with period `pi`.The range is [0, 1].The domain is R.None of these

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`|g(x)|=|sinx|, x in R` <br> `f(|g(x)|)={(|sinx|-1",",-1 le |sinx| lt 0),((|sinx|)^(2)",", 0le (|sinx|) le 1):}=sin^(2)x,x in R` <br> `f(g(x))={(sinx-1",",-1 le sinx lt 0),(sin^(2)x",", 0le sinx le 1):}` <br> `={(sinx-1",",(2n-1) pi lt x lt 2n pi),(sin^(2)x",", 2n pi le x le (2n+1)pi):},n in Z.` <br> or `|f(g(x))|={(sinx-1",",(2n-1) pi lt x lt 2n pi),(sin^(2)x",", 2n pi le x le (2n+1)pi):},n in Z.` <br> Clearly, `h_(1)(x)=f(|g(x)|)=sin^(2)x` has period `pi`, range [0, 1], and domain R`.