determine if the second funtion is the inverse of the first function 数学题determine if the second funtion is the inverse of the first functiony=2x^2-3, X

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determine if the second funtion is the inverse of the first function 数学题determine if the second funtion is the inverse of the first functiony=2x^2-3, X
determine if the second funtion is the inverse of the first function 数学题
determine if the second funtion is the inverse of the first function
y=2x^2-3, X<=0 second funtion y= 负* 根号(1/2(x+3))
我的结果是:y= 正负* 根号(1/2(x+3)) 请问X<=0 有什么意义?·
然后,restrict the domain so that the inverse of each funtion is a funtion .
restrict the domain X的取值范围?
题目是,y=x^2 -1 y=(x+1)^2 y=(x-2)^+1
X取值范围是R啊.我知道怎样 inverse funtion 但是 "规定范围使inverse funtion is a funtion" 又是怎么做呢?

determine if the second funtion is the inverse of the first function 数学题determine if the second funtion is the inverse of the first functiony=2x^2-3, X
y=2x^2-3,X

注意inverse function是反函数的意思。若反函数存在,则直接函数必须是一一映射,既对每一个y值,有唯一的x值与之对应。
具体到你的题目,y=2x^2-3, 若不规定x的范围,其自然定义域是R,既全体实数,但此时反函数不存在。 在规定了x<=0的前提下,其反函数为 y = -[(x+3)/2]^(1/2).
其它的题目类似,如y=x^2 -1, 其定义域可取 x>=0...

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注意inverse function是反函数的意思。若反函数存在,则直接函数必须是一一映射,既对每一个y值,有唯一的x值与之对应。
具体到你的题目,y=2x^2-3, 若不规定x的范围,其自然定义域是R,既全体实数,但此时反函数不存在。 在规定了x<=0的前提下,其反函数为 y = -[(x+3)/2]^(1/2).
其它的题目类似,如y=x^2 -1, 其定义域可取 x>=0 或x <=0.

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