Find the functions (a) f g, (b) gf, (c) ff, and (d) gg and their domains. f(x)

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Find the functions 

(a) f° g, 

(b) g°f, 

(c) f°f, and 

(d) g°g  and their domains.

f(x) = x/1 + x,     g(x) = sin 2x

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