Ib feem tseem ceeb ntawm kev kawm algebra yog kawm paub yuav ua li cas thiaj li pom qhov rov qab ua haujlwm, lossis f (x). Kev hloov pauv ntawm txoj haujlwm yog sawv cev los ntawm f^-1 (x), thiab qhov rov qab feem ntau yog sawv cev rau qhov muag thaum pib ua haujlwm pom los ntawm kab y = x. Kab lus no yuav qhia koj yuav ua li cas thiaj nrhiav tau qhov kev hloov pauv ntawm txoj haujlwm.
Kauj ruam
Kauj Ruam 1. Ua kom ntseeg tau tias koj lub luag haujlwm yog ib-rau-ib (txhaj tshuaj) ua haujlwm
Tsuas yog ib-rau-ib lub luag haujlwm muaj qhov rov qab.
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Ib txoj haujlwm yog ib-rau-ib txoj haujlwm yog tias nws dhau qhov kev ntsuas kab ntsug thiab kab kev ntsuas kab rov tav. Kos ib txoj kab ntsug los ntawm tag nrho cov kab ntawm txoj haujlwm thiab suav tus naj npawb ntawm lub sijhawm nws tsoo txoj haujlwm. Tom qab ntawd, kos kab kab rov tav los ntawm tag nrho cov kab ntawm txoj haujlwm thiab suav tus lej ntawm qhov tshwm sim ntawm kab no ntawm txoj haujlwm. Yog tias txhua kab tsuas yog ua haujlwm ib zaug, tom qab ntawv muaj nuj nqi yog ib-rau-ib qho.
Yog tias daim duab tsis dhau qhov ntsuas kab ntsug, nws tsis yog txoj haujlwm
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Txhawm rau txiav txim siab algebraically yog tias muaj nuj nqi yog ib-rau-ib txoj haujlwm, ntsaws f (a) thiab f (b) rau hauv koj li haujlwm kom pom tias a = b. Piv txwv, coj f (x) = 3x+5.
- f (a) = 3a + 5; f (b) = 3b + 5
- 3a + 5 = 3b + 5
- 3a = 3b
- ib = b
- Yog li, f (x) yog ib-rau-ib txoj haujlwm.
Kauj Ruam 2. Txij li qhov no yog txoj haujlwm, hloov x thiab y
Nco ntsoov tias f (x) yog qhov hloov pauv rau "y."
- Hauv kev ua haujlwm, "f (x)" lossis "y" sawv cev rau cov zis thiab "x" sawv cev rau kev tawm tswv yim. Txhawm rau nrhiav qhov rov qab ntawm txoj haujlwm, koj pauv cov tswv yim thiab cov zis.
- Piv txwv: Wb siv f (x) = (4x+3)/(2x+5)-uas yog ib-rau-ib qho haujlwm. Los ntawm kev sib pauv x thiab y, peb tau x = (4y + 3)/(2y + 5).
Kauj Ruam 3. Nrhiav tus tshiab "y"
Koj yuav tsum hloov qhov kev qhia kom pom y, lossis txhawm rau nrhiav cov haujlwm tshiab kom ua tiav ntawm cov tswv yim kom tau txais qhov rov qab raws li qhov tso tawm.
- Qhov no tuaj yeem nyuaj, nyob ntawm koj qhov kev hais tawm. Tej zaum koj yuav xav siv cov lej lej xws li hla kev sib npaug lossis qhov sib piv los ntsuas cov kab lus thiab ua kom yooj yim rau lawv.
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Hauv peb qhov piv txwv, peb yuav ua cov theem hauv qab no kom cais y:
- Peb pib nrog x = (4y + 3)/(2y + 5)
- x (2y + 5) = 4y + 3 - Sib npaug ob tog los ntawm (2y + 5)
- 2xy + 5x = 4y + 3 - Faib x
- 2xy - 4y = 3 - 5x - Tsiv tag nrho cov ntsiab lus y mus rau ib sab
- y (2x - 4) = 3 - 5x - faib rov qab los ua ke cov ntsiab lus y
- y = (3 - 5x)/(2x - 4) - Faib kom tau koj cov lus teb
Kauj Ruam 4. Hloov qhov "y" tshiab nrog f^-1 (x)
Nov yog kab zauv rau kev thim rov qab ntawm koj thawj txoj haujlwm.
