函数f（x）的定义域为D=﹛x／x≠0﹜且满足对于任意x1,x2∈0,有f（x1乘x2）=f（x1）+f(x2)⑴.求f（1）值⑵_数学解答

函数f（x）的定义域为D=﹛x／x≠0﹜且满足对于任意x1,x2∈0,有f（x1乘x2）=f（x1）+f(x2)
⑴.求f（1）值
⑵判断f（x）的奇偶性
⑶如果f（4）=1,f（3x+1）+f（2x-6）≤3且f（x）在（0,+∞）上是增函数,求x的取值范围

人气：208 ℃　时间：2019-10-23 07:05:28

解答

1) 令x1 = x2 = 1;带入f(x1x2)=f(x1)+f(x2);f(1) = f(1) + f(1) ===> f(1) = 0;2) 令x1 = x2 = -1;带入f(x1x2)=f(x1)+f(x2);0 = f(1) = f(-1) + f(-1) ===> f(-1) = 0;令x1 = -1;带入f(x1x2)=f(x1)+f(x2);f(-x2) = f...