For what value(s) of the constant k will the following funct
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For what value(s) of the constant k will the following function not be its own inverse.
f(x) =(x - k)/(x - 1)
f(x) =(x - k)/(x - 1)
题目翻译过来应该是:当常量K取何值时,下列函数的反函数不是它自身?f(x) =(x - k)/(x - 1)
所给函数f(x)自变量的定义域为x≠1
当常量K取1时,原函数等价于f(x)=1 (x≠1) 没有反函数;
当常量K取值不为1时,原函数的反函数求出来仍然是它自身,即f(x) =(x - k)/(x - 1) (x≠1)
所以答案为K=1
所给函数f(x)自变量的定义域为x≠1
当常量K取1时,原函数等价于f(x)=1 (x≠1) 没有反函数;
当常量K取值不为1时,原函数的反函数求出来仍然是它自身,即f(x) =(x - k)/(x - 1) (x≠1)
所以答案为K=1
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