y = x + √(x-1)x∈【5,10】x-1∈【4,9】令t=√(x-1)∈【2,3】则x=t²+1,y=t²+1+t=(t+1/2)²+3/4t∈【2,3】t+1/2∈【5/2,7/2】(t+1/2)²∈【25/4,49/4】(t+1/2)²+3/4∈【28/4,52/4】即值域【7,13】