Video: Puas muaj qhov cubic muaj nuj nqi inverse?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Nyob rau hauv dav dav, muaj TSIS MUAJ INVERSE , YOG TSIS MUAJ IB TUG NEEG FUNCTION ., vim li ntawd xwb muaj nuj nqi yog invertible. ? TAB SIS a kub functionis yog ntawm daim ntawv hauv qab no / tuaj yeem hloov mus rau hauv daim ntawv hauv qab no, nws yog invertible: (i) f (x) = (ax + b) ³ + c, a≠0, b, c∈ | R, nrog rau nws cov natural domain, x∈|R los yog txo tus nqi.
Tsuas yog li ntawd, puas yog qhov hloov pauv ntawm lub cubic muaj nuj nqi kuj muaj nuj nqi?
Peb hais tias cov kub hauv paus function yog inverse ntawm kub function . Lub square muaj nuj nqi yog tsis uniquely invertible, yog li nws tsis muaj inverse muaj nuj nqi . Piv txwv li, nyob rau hauv ib xyoos twg tus naj npawb ntawm bagels noj nyob rau hauv Teb Chaws Asmeskas yog a muaj nuj nqi ntawm hnub.
Tsis tas li ntawd, dab tsi yog qhov rov qab ntawm polynomial? Cov thim rov qab ntawm ib qho kev ua haujlwm yog qhov kev qhia uas koj tau txais thaum koj daws rau x (hloov cov y hauv kev daws rau x, thiab cais x rau f (x), lossis y). Vim li ntawd, rau txhua qhov taw tes [x, y] hauv qhov kev ua haujlwm qub, lub ntsiab lus [y, x] yuav nyob ntawm qhov thim rov qab.
Ib yam li ntawd, qhov kev ua haujlwm zoo li cas yog qhov rov qab ntawm lub cubic muaj nuj nqi?
Nrhiav qhov kub root thiab cubing yog inverse operations. Ib qho haujlwm kuj tuaj yeem muaj qhov hloov pauv. Lub inverse muaj nuj nqi ntawm f(x) yog sau li f-1 (x).
Dab tsi yog inverse ntawm ib txoj haujlwm?
Hauv lej, ib inverse muaj nuj nqi (los yog anti- muaj nuj nqi ) yog a muaj nuj nqi uas "reverses" lwm muaj nuj nqi :if cov muaj nuj nqi f siv rau qhov kev nkag x muab qhov tshwm sim ntawm y, tom qab ntawd siv nws inverse muaj nuj nqi g rau y muab qhov tshwm sim x, thiab vice versa, i.e., f(x) = y yog thiab tsuas yog g(y) = x.
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