ระดับความยาก 4.5/10

Ent'44 ถ้า (fog)( x ) = 3x - 14 และ f( x/3 + 2) = x - 2 แล้ว ( x ) เื่ท่ากับข้อใดต่อไปนี้

1. 3x - 4        2. 3x - 6        3. 3x - 8        4. 3x - 10

เฉลย >> ข้อ 2
ก่อนอื่นต้องหาว่า f( x ) เท่ากับเท่าใดก่อน
จาก f( x/3 + 2) = x - 2 แทนค่า x ด้วย 3y -6 ได้ว่า
f( (3y-6)/3 +2 ) = (3y - 6) - 2
f( y ) = 3y - 8 แทนค่า y ด้วย x กลับอีกรอบหนึ่งได้ว่า
f( x ) = 3x - 8
ต่อไปจากโจทย์บอกมาว่า (fog)( x ) = 3x - 14 เีรา่จึงลองแทน (fog)( x ) ใน f( x ) ที่เราได้มาได้ว่า
(fog)( x ) = f(g( x )) = 3(g( x )) - 8
3x -14 = 3(g( x )) - 8
3x - 6 = 3(g( x ))
g( x ) = x - 2
ขั้นต่อไปพิจารณา ( x ) โดยหา ก่อน
g( x ) = x - 2
= x
แทนค่า x ด้วย y + 2 ได้ว่า
= y + 2
แทนค่า y ด้วย x กลับอีกครั้งหนึ่งได้ว่า
= x +2

ต่อมาหาค่า ( x ) = = (3x - 8) + 2 = 3x -6

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grande taille femme

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Excellent article! thank you for this information!

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grande taille femme

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Fantastic write up! thanks so much for this information!

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Fantastic piece! thanks so much for this information!

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stagevu

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Amazing post! thanks for this info!

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Getbetterlife.com

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Interesting article!

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riad anya marrakech

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Great write up! thanks so much for this info!

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riad anya marrakech

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Solid post! thank you so much for this info!

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riad luxe

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Excellent blog post! thanks so much for this information!

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riad luxe

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Amazing piece! thanks so much for this information!

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Excellent blog post! thank you so much for this information!

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Great post! thank you so much for this information!

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Amazing piece! thank you for this information!

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Great blog post! thank you so much for this information!

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Great write up! thank you for this info!

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Solid article! thanks for this info!

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