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Video: Dab tsi yog qhov hloov pauv ntawm kev ua haujlwm?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Cov inverse ntawm ib tug function yog a muaj nuj nqi uas thim rov qab qhov "teeb" ntawm qhov qub muaj nuj nqi . Muab ib muaj nuj nqi , hais f(x), nrhiav tus thim rov qab ntawm muaj nuj nqi , peb thawj zaug hloov f(x) rau y. Tom ntej no, peb hloov tag nrho x rau y thiab y rau x. thiab ces peb daws rau y. Qhov kev daws teeb meem rau y yog qhov thim rov qab ntawm tus thawj muaj nuj nqi.
Kuj nug, ua li cas koj pom qhov inverse ntawm ib txoj haujlwm?
Nrhiav qhov Inverse ntawm Kev Ua Haujlwm
- Ua ntej, hloov f(x) nrog y.
- Hloov txhua x nrog y thiab hloov txhua y nrog x.
- Kho qhov sib npaug ntawm Kauj Ruam 2 rau y.
- Hloov y nrog f − 1 (x) f − 1 (x).
- Txheeb xyuas koj txoj haujlwm los ntawm kev txheeb xyuas tias (f∘f−1)(x) = x (f ∘ f − 1) (x) = x and (f−1∘f)(x) = x (f − 1 ∘ f) (x) = x yog ob qho tseeb.
Ib yam li ntawd, dab tsi yog qhov kev hloov pauv ua piv txwv? Ib inverse muaj nuj nqi yog a muaj nuj nqi uas yuav "undo" txhua yam uas tus thawj muaj nuj nqi ua. Rau piv txwv , peb txhua tus muaj txoj kev khi peb nkawm khau, thiab yuav ua li cas peb khi peb nkawm khau yuav hu ua a muaj nuj nqi . Ob qhov kev ua lej uas tau tshwm sim hauv qhov muaj nuj nqi f (x) yog qhov sib npaug thiab rho tawm.
Nyob rau hauv no, dab tsi yog qhov inverse ntawm ib tug muaj nuj nqi?
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 ib qho 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.
Dab tsi yog qhov hloov pauv ntawm kev txhaum?
Cov thim rov qab yog siv kom tau qhov ntsuas ntawm lub kaum sab xis siv qhov sib piv los ntawm qhov yooj yim txoj cai daim duab peb sab trigonometry. Cov thim rov qab ntawm sine yog denoted li Arcsine los yog ntawm lub tshuab xam zauv nws yuav tshwm sim li asin los yog kev txhaum -1.
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