f(logaX)=a/a2-1(X-1/X),a>0,X>0,a不等于1,求f(X)

f(logaX)=a/a2-1(X-1/X),a>0,X>0,a不等于1,求f(X)
f(logaX)=a/a2-1(X-1/X),a>0,X>0,a不等于1,求f(X)

f(logaX)=a/a2-1(X-1/X),a>0,X>0,a不等于1,求f(X)
令log(a)x=t,则x=a^t --->f(t)=a/(a^2-1)*[a^t-^(-t)] 就是f(x)=a[a^x-a^(-x)]/(a^2-1)