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Hi,  First, determine domains of f and g,  the domain of g is R, for f the domain is: f = Sqrt[#^2 - 5 # - 6] &; g = 4 # + 5 &; Solve[f[x] == 0, x] Plot[f[x], {x, -10, 15}]wich gives (-inf,-1) and  (6,+inf) . Then  for h=f(g):[mcode]h...