Let f(x) = sin(sin(sin x)) for all x R and g(x) = sin x for all...
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Let f(x) = sin(sin(sin x)) for all x R and g(x) = sin x for all x R. Let (fog)(x) denote f(g(x)) 2 and (gof)(x) denote g(f(x)). Then which of the following is (are) true ? (A) Range of fis (B) Range of fog is f(x) == (C) lim x0 g(x) 6 2. (D) There is an x = R such that (gof)(x) = 1 Let f(x) = sin(sin(sin x)) for all x R and g(x) = sin x for all x R. Let (fog)(x) denote f(g(x)) 2 and (gof)(x) denote g(f(x)). Then which of the following is (are) true ? (A) Range of fis (B) Range of fog is f(x) == (C) lim x0 g(x) 6 2. (D) There is an x = R such that (gof)(x) = 1
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