若函数f(x)=a+ 4的x次方减1分之1是奇函数,则a=?
若函数f(x)=a+ 4的x次方减1分之1是奇函数,则a=?
若函数f(x)=a+ 4的x次方减1分之1是奇函数,则a=?
若函数f(x)=a+ 4的x次方减1分之1是奇函数,则a=?
数学人气:773 ℃时间:2020-01-25 12:17:47
优质解答
∵f(x)=a+1/(4^x-1)是奇函数,∴-f(x)=f(-x),即:-a-1/(4^x-1)=a+1/[4^(-x)-1]-a-1/(4^x-1)=a+1/[(1/4)^x-1]-a-1/(4^x-1)=a+4^x/(1-4^x)-a-a=4^x/(1-4^x)-1/(1-4^x)-2a=(4^x-1)/(1-4^x)2a=1a=...
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