Question

请问：f(x)=㏑(x+根号下x^2+1）的奇偶性,要详细的步骤,谢谢了~~~

Answer 1

f(-x) = In(-x+sqrt((-x)^2+1)) = In(-x+sqrt(x^2+1)) = In(x^2+1-x^2)/(sqrt(x^2+1)+x) = In 1/(sqrt(x^2+1)+x) = -In(x+sqrt(x^2+1)=-f(x)