函数f(x)=log 底数是 a真数是(x+根号下x^2+1(a>0且a不等于1)是奇函数的证明!

问题描述:

函数f(x)=log 底数是 a真数是(x+根号下x^2+1(a>0且a不等于1)是奇函数的证明!

f(x)=log(x+√x^2+1)的定义域Rf(-x)=log(-x+√x^2+1)=log(-x+√x^2+1)((x+√x^2+1)/(x+√x^2+1)=log[1/(x+√x^2+1)]=-log(x+√x^2+1)=-f(x)f(x)是奇函数定义域是R是怎么证明的?x^2+1>x^2√x^2+1>|x|>=x