已知函数f(x)=(x^2+c)/(ax+b)为奇函数,f(1)
问题描述:
已知函数f(x)=(x^2+c)/(ax+b)为奇函数,f(1)
答
(1)∵已知f(x)=(x²+c)/(ax+b)为奇函数∴由f(-x)= -f(x)可得(x²+c)/(ax+b)= -(x²+c)/(-ax+b)∴b = 0∴f(x)=(x²+c)/ ax ①∵f(1)<f(3)∴(1+c)/ a <(9+c)/ 3a ②...