y=(x²-2x+3)/(2x-3)函数的值域

问题描述:

y=(x²-2x+3)/(2x-3)函数的值域

x^2-2x+3=2yx-3y
x^2-(2+2y)x+(3+3y)=0
判别式:
4(y+1)^2-12(y+1)≥0
4(y+1)(y-2)≥0
y≥2或y≤-1函数y=(1+√x)/(1-√x)的值域是1+√x=y-y√x
(1+y)√x=(y-1)
√x=(y-1)/(y+1)
因为√x≥0
(y-1)/(y+1)≥0
(y-1)(y+1)≥0(y≠-1)
y≥1,或y