求y等于5x加6除以3x减4的值域

问题描述:

求y等于5x加6除以3x减4的值域

y = (5 x + 6)/ (3 x + 4)= (5 x + 6)/ 3(x + 4 / 3)= (5 x + 20 / 3 - 2 / 3)/ 3(x + 4 / 3)= (5 x + 20 / 3)/ 3(x + 4 / 3) - (2 / 3)/ 3(x + 4 / 3)= 5(x + 4 / 3)/ 3(x + 4 / 3) - 2 / ...是3x减4呀y = (5 x + 6)/ (3 x - 4)= (5 x + 6)/ 3(x - 4 / 3)= (5 x - 20 / 3 + 38 / 3)/ 3(x - 4 / 3)= (5 x - 20 / 3)/ 3(x - 4 / 3) - (38 / 3)/ 3(x - 4 / 3)= 5(x - 4 / 3)/ 3(x - 4 / 3) - 38 / 3(3 x - 4)= 5 / 3 - 38 / (9 x - 12)∵ - 38 / (9 x - 12)≠ 0 ∴ 5 / 3 - 38 / (9 x - 12)≠ 5 / 3 ∴ 值域为:(-∞,5 / 3 )∪(5 / 3 ,+ ∞)同样的结果,就是计算错了。。。。