y=5x-1/4x+2(x>0)的值域

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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

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)

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