2f(x)+f(1/x)=2x+1/2 (x≠0) 则f(2)=?谢谢
问题描述:
2f(x)+f(1/x)=2x+1/2 (x≠0) 则f(2)=?谢谢
答
2*2+1/2=9/2=2f(2)+f(1/2),18/2 = 4f(2) + 2f(1/2),2f(1/2)= 18/2 - 4f(2).2*(1/2)+1/2=3/2=2f(1/2)+f(2)= 18/2 - 4f(2) + f(2) = 18/2 - 3f(2),3f(2)=18/2 - 3/2 = 15/2,f(2) = 5/2