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Jika f ( x ) = x 3 − 3 x 3 − 3 x − 1 , maka nilai f ( 1 + 3 2 ​ + 3 4 ​ ) = . . .

Jika  maka nilai

  1. -begin mathsize 14px style square root of 2 end style

  2. -1

  3. 0

  4. 1

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R. RGFLLIMA

Master Teacher

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Pembahasan

Dengan mengingat Maka: Jadi,

Dengan mengingat
begin mathsize 14px style asterisk times space open parentheses straight a plus straight b close parentheses cubed space equals space straight a cubed plus 3 straight a cubed plus 3 ab squared plus straight b cubed  asterisk times space left parenthesis straight a minus straight b right parenthesis cubed space equals space straight a cubed minus 3 straight a cubed plus 3 ab squared minus straight b cubed end style

Maka:

begin mathsize 14px style straight f left parenthesis straight x right parenthesis space equals space straight x cubed minus 3 straight x cubed minus 3 straight x minus 1  space space space space space space space equals left parenthesis straight x cubed minus 3 straight x cubed minus 3 straight x minus 1 right parenthesis minus 6 straight x  space space space space space space space equals left parenthesis straight x minus 1 right parenthesis cubed minus 6 straight x end style

Jadi,

begin mathsize 14px style straight f left parenthesis 1 plus cube root of 2 plus cube root of 4 right parenthesis  equals open parentheses left parenthesis 1 plus cube root of 2 plus cube root of 4 right parenthesis close parentheses cubed minus 6 left parenthesis 1 plus cube root of 2 plus cube root of 4 right parenthesis  equals open parentheses cube root of 2 plus cube root of 4 close parentheses cubed minus left parenthesis 6 plus 6 cube root of 2 plus cube root of 4 right parenthesis  equals left parenthesis left parenthesis cube root of 2 right parenthesis cubed plus 3 left parenthesis cube root of 2 right parenthesis squared left parenthesis cube root of 4 right parenthesis plus 3 left parenthesis cube root of 2 plus cube root of 4 right parenthesis squared plus left parenthesis cube root of 4 cubed right parenthesis minus left parenthesis 6 plus 6 cube root of 2 plus 6 cube root of 4 right parenthesis  equals open parentheses 2 plus 3 cube root of 16 plus 3 cube root of 32 plus 4 close parentheses minus space open parentheses 6 plus 6 cube root of 2 plus 6 cube root of 4 close parentheses  equals left parenthesis 6 plus 6 cube root of 2 plus 6 cube root of 4 right parenthesis minus left parenthesis 6 plus 6 cube root of 2 plus 6 cube root of 4 right parenthesis  equals 0 end style

 

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Misalnya, suatu fungsi dinyatakan sebagai l : x → 2 1 ​ x 2 − 2 . Tentukanlah: b. himpunan pasangan berurutan untuk daerah asal 2 < x < 6 dengan x bilangan bulat.

2

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