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y等于4x减去2 分之5x减1的值域怎么求?
人气:444 ℃ 时间:2019-08-20 21:15:33
解答
y=(5x-1)/(4x-2)
=5/4(x-1/5)/(x-1/4)
=5/4(x-1/4+1/20)/(x-1/4)
=5/4(1+1/20)/(x-1/4)
=5/4+(1/16)/(x-1/4)
定义域x≠1/4
x∈(-∞,1/4)时:
-∞<x-1/4<0
-∞<y<5/4
x∈(1/4,+∞)时:
-∞<x-1/4<0
5/4<y<+∞
值域(-∞,5/4),(5/4,+∞)
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