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jonyblack38
@jonyblack38
September 2021
1
7
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даю 12 баллов за лёгкое задание.помогите пожалуйста. срочно.знайти обернену функыю
[tex] {f}^{ - 1} (x)[/tex]
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армения20171
Y=³√(x-2)/(x+1)
y³=(x-2)/(x+1)
y³=(x+1-3)/(x+1)=1-3/(x+1)
3/(x+1)=1-y³
x+1=3/(1-y³)
x=3/(1-y³)-1=(3-1+y³)/(1-y³)=(2+y³)/(1-y³)
x=(2+y³)/(1-y³)
0 votes
Thanks 1
jonyblack38
а надо менять y и x местами в конце?
армения20171
да
jonyblack38
сп
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Answers & Comments
y³=(x-2)/(x+1)
y³=(x+1-3)/(x+1)=1-3/(x+1)
3/(x+1)=1-y³
x+1=3/(1-y³)
x=3/(1-y³)-1=(3-1+y³)/(1-y³)=(2+y³)/(1-y³)
x=(2+y³)/(1-y³)