已知函数f(x)的定义域为R,值域为[1.2],求y=f(x+1)的值域

2025-06-26 14:41:00
推荐回答(1个)
回答1:

1.令t=x+1
因为x属于R,得t也属于R
则y=f(t)值域为[1.2]

2.应该是求定义域吧
由题意,得-2<=根号x<=2,得0<=x<=4 定义域为[0,4]
由-2<=x^2<=2,得-根号2<=x<=根号2 定义域为[-根号2,根号2]

3.由题意,得-1<=x^2-1<=3,得-2<=x<=2 定义域[-2,2]
由-2<=1-3x<=2,得-1/3<=x<=1 定义域为[-1/3,1]

4.由题意,得kx^2+4kx+3不等于0
得(4k)^2-4*3*k=4k(4k-3)<0
得0