
函数f(x)=1+(m/a^x-1)是奇函数,则m为
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f(x)=1+(m/(a^x-1))
f(x) + f(-x) = 0
1+(m/(a^x - 1)) + 1+(m/(a^-x - 1)) = 0
2+(m/(a^x - 1))+(ma^x/(1 - a^x)) = 0
2+(m(1-a^x)/(a^x - 1)) = 0
2-m = 0
m = 2.
f(x) + f(-x) = 0
1+(m/(a^x - 1)) + 1+(m/(a^-x - 1)) = 0
2+(m/(a^x - 1))+(ma^x/(1 - a^x)) = 0
2+(m(1-a^x)/(a^x - 1)) = 0
2-m = 0
m = 2.
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