f(log以a为底x的对数)=[a/(a^2-1)][x-(x^-1)]的奇偶性和单调性还有定义域!

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f(log以a为底x的对数)=[a/(a^2-1)][x-(x^-1)]的奇偶性和单调性还有定义域!f(log以a为底x的对数)=[a/(a^2-1)][x-(x^-1)]的奇偶性和单调性还有定义域!

f(log以a为底x的对数)=[a/(a^2-1)][x-(x^-1)]的奇偶性和单调性还有定义域!
f(log以a为底x的对数)=[a/(a^2-1)][x-(x^-1)]的奇偶性和单调性还有定义域!

f(log以a为底x的对数)=[a/(a^2-1)][x-(x^-1)]的奇偶性和单调性还有定义域!
1.令t = log(a,x),则有(a的t次方)=x
2.f(t)=[a/(a^2-1)][(a的t次方)-((a的t次方)=^-1)]
3.所以f(x)=[a/(a^2-1)][(a的x次方)-(a的-x次方)
4.定义域R
5.奇偶性:f(-x)=[a/(a^2-1)][(a的-x次方)-(a的x次方)] =-f(x)
所以偶函数
6.单调性:单调增函数
随着 x变大,(a的x次方)-(a的-x次方)变大,所以f(x)变大!