y=5x-1/4x+2(x>0)的值域

来源:学生作业帮助网 编辑:作业帮 时间:2024/09/08 14:20:18
y=5x-1/4x+2(x>0)的值域
xݐNP_ŐQzNOմl=LO/*P-FxwJ6,dRcԷ +^P1!Q7cF"Ͳps (b9ZirQݦUo:ڣ3ݮ*PQu\'c2NԦ3%KظWI9.K}I< Zez9yV7m;R#s]Zw4 QPocMڡ9*8B׮`X.U!Ía σ:s<ΥA:>ԥ1_xȇ ra{aɅ}$(/X4Mw^vv_,, ʨ s 1ȗ#9# o'Wo3w9?i

y=5x-1/4x+2(x>0)的值域
y=5x-1/4x+2(x>0)的值域

y=5x-1/4x+2(x>0)的值域
用逆求法:
y=(5x-1)/(4x+2)
5x-1=4yx+2y
(5-4y)x=(1+2y)
x=(2y+1)/(5-4y)>0
(2y+1)/(4y-5)<0
(2y+1)(4y-5)<0
-1/2原函数的值域为:
(-1/2,5/4)

收起