y=1-x⼀2x+5的值域怎么求,急用!!!!!!

2025-03-04 03:14:56
推荐回答(2个)
回答1:

反函数法
1-x=2xy+5y
2xy+x=1-5y
x(1+2y)=(1-5y)
x=(1-5y)/(1+2y)
1+2y≠0
y≠-1/2
值域{y|y≠-1/2}

回答2:

y=(1-x)/(2x+5)
1-x = y(2x+5)
1-x = 2yx+5y
-x-2yx = 5y-1
x = (1-5y)/(2y+1)
2y+1≠0
y≠-1/2
值域(-∞,-1/2),(-1/2,+∞)