設u=3^x,若y=(7+9u)/(u+2),求值域?
回答 (3)
設u=3^x,若y=(7+9u)/(u+2),求值域?
Sol
y=(7+9u)/(u+2)
yu+2y=7+9u
yu+2y-7-9u=0
(y-9)u=7-2y
u=(2y-7)/(y-9)>0
(2y-7)(y-9)>0
3.5<y<9
y=(9u+18-11)/(u+2)
=9-11/(u+2)
值域為 {y∈R∣7 / 2 < y < 9} #
收錄日期: 2021-04-18 18:16:27
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