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问题: y=2x+1/x+3的值域为?

解答:

y = (2x + 1)/(x + 3)的值域为?

x + 3≠0
x≠-3

y(x + 3) = 2x + 1
yx - 2x = 1 - 3y
x(y - 2) = 1 - 3y
x = (1 - 3y)/(y - 2)

值域为:
(-∞,2)∪(2,∞),也可简单表示为y≠2