若函数Y=f(x+1)的定义域是【-2,3】则Y=f(2x-1)的定义域是?

2024-12-13 16:55:43
推荐回答(2个)
回答1:

y=f(x+1)的定义域是【-2,3】
即-2<=x<=3
-1<=x+1<=4
f(x)括号内的范围相等
-1<=2x-1<=4
0<=x<=5/2
函数y=f(2x-1)的定义域为[0,5/2]

回答2:

【-5,5】。具体解法:-2<=x+1<=3,解得-3<=x<=2,所以-5<=2x-1<=5