y=f(x),则f(2x+1/x-1)>0表示什么?

已知函数f(x)满足f(1)=1/4,f(x)+f(y)=4f(x+y/2)*f(x-y/2)则f(-2011)=? 已知函数f(x)满足f(2)=1/2,2f(x)f(y)=f(x+y)+f(x-y),则f(2012)=? 已知f(x)=3^x,求证：(1)f(x)·f(y)=f(x+y);(2)f(x)/f(y)=f(x-y). 设f(x)=e的y次方,证明：（1）,f(x)f(y)=f(x+y) ,(2),f (x)/f(y)=f(x-y) 高中数学初学者求周期函数解法已知函数f (x )满足f(1)=1/4,4f(x)f(y)=f(x+y)+f(x-y)(x,y属于R),则f(2010)=?取y=1，则 4f(x)f(1)=f(x+1)+f(x-1)即 f(x)=f(x+1)+f(x-1)所以 f(x+1)=f(x+2)+f(x) (在上式中，以x+1代替x)两式相加 -任意实数x、y,函数f（x）恒满足：f(x+y)=2f(y)+(x+1)(x+2y+1),则f(x)= - 导数：f(x+y)=f(x)f(y),且f'(o)=1,求f'(x)f(x+y)=f(x)f(y),且f'(o)=1,求f'(x)f(x+y)=f(x)+f(y)+2xy,且f'(o)存在,求f'(x) f(1+x)=af(x),且f'(0)=b,求f'(1) f(x)满足f(1)=1/4 4f(x)f(y)=f(x+y)+f(x-y) (x ,y属于R)则 f(2010)=? f(x+y)+f(xy-1)=f(x)f(y)+2f(n)表达式 f(x)满足f(x+y)=f(x)+f(y)+2xy,(x,y属于R),f(1)=2,则f(-3)等于多少 . 已知函数f(x)满足,f(1)=1/2,f(x+y)+f(x-y)=2f(x)f(y)(x,y属于R）,则f(0)+f(1)+……+f(2013)=? 若f(x)满足f(x)-2f(1/x)=x,则f(x)=? 若F(x)满足f(x)+2f(1/x)=x,则f(x)= 已知y=f(x)满足f(x+1)=2/f(x),x∈[0,1]时,f(x)=x,则f(3)=? 已知函数y=f(x)满足f(x)=-f(x+2),且当x∈[0,1]时,f(x)=x,则f(2009)= 若f(x+y)=f(x)+f(y),f(1)=2,则f(0)=? f(x+y)+f(x-y)=2f(x)f(y) 求证：f(0)=1 已知f(x)满足f(1)=1,对于任意的实数x、y都满足f(x+y)=f(x)+f(y)+2y(x+y)+1,若x是正整数,则f(x)=?