f(x)=arcsin 2x/(1+x) + √(1-2x-3x^2)的定义域是?

问题描述:

f(x)=arcsin 2x/(1+x) + √(1-2x-3x^2)的定义域是?

f(x)=arcsin 2x/(1+x) + √(1-2x-3x^2)
case 1:
1-2x-3x^2 > 0
3x^2+2x-1(3x-1)(x+1)-1and
case 2:
1+x 不等于0
x不等于-1
and
case 3:
-1-1/2 定义域
case 1 and case 2 and case 3
-1ie -1/2 = 03x^2+2x-1=01=-1/3}ie -1/3