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Pertanyaan

Diketahui f ( x ) = 2 1 ​ x − 1 dan ( g ∘ f ) ( x ) = 2 1 ​ x + 1 . Nilai g ( − 1 ) + g ( 0 ) + g ( 1 ) + g ( 2 ) + . . . + g ( 98 ) = ....

Diketahui dan . Nilai ....

  1. 5042

  2. 5044

  3. 5046

  4. 5048

  5. 5050

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F. Ayudhita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

jawaban yang tepat adalah E.

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Pembahasan

Pembahasan
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Jadi, jawaban yang tepat adalah E.

begin mathsize 14px style left parenthesis g ring operator f right parenthesis left parenthesis x right parenthesis equals g left parenthesis f left parenthesis x right parenthesis right parenthesis space g left parenthesis begin inline style 1 half end style space x minus 1 right parenthesis equals begin inline style 1 half end style space x plus 1 end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell Misal space colon space begin inline style 1 half end style space x minus 1 end cell equals cell p space end cell row cell begin inline style 1 half end style x end cell equals cell p plus 1 space space end cell row x equals cell 2 p plus 2 space end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell g left parenthesis p right parenthesis end cell equals cell begin inline style 1 half end style left parenthesis 2 p plus 2 right parenthesis plus 1 space end cell row cell g left parenthesis p right parenthesis end cell equals cell p plus 1 plus 1 end cell row blank equals cell p plus 2 end cell end table end style 

begin mathsize 14px style g left parenthesis negative 1 right parenthesis plus g left parenthesis 0 right parenthesis plus g left parenthesis 1 right parenthesis plus g left parenthesis 2 right parenthesis plus horizontal ellipsis plus g left parenthesis 98 right parenthesis left right double arrow left parenthesis negative 1 plus 2 right parenthesis plus left parenthesis 0 plus 2 right parenthesis plus left parenthesis 1 plus 2 right parenthesis plus left parenthesis 2 plus 2 right parenthesis plus horizontal ellipsis plus left parenthesis 98 plus 2 right parenthesis left right double arrow left parenthesis 2 cross times 100 right parenthesis plus left parenthesis negative 1 plus 0 plus 1 plus 2 plus horizontal ellipsis plus 98 right parenthesis left right double arrow 200 plus left parenthesis negative 1 plus 0 plus 1 right parenthesis plus left parenthesis 2 plus horizontal ellipsis plus 98 right parenthesis left right double arrow 200 plus open parentheses negative 1 plus 0 plus 1 close parentheses plus open parentheses 2 plus 98 right parenthesis plus open parentheses 3 plus 97 close parentheses plus horizontal ellipsis plus left parenthesis 49 plus 51 close parentheses plus 50 left right double arrow 200 plus 0 plus left parenthesis open parentheses 48 cross times 100 close parentheses plus 50 right parenthesis left right double arrow 200 plus 4800 plus 50 left right double arrow 5050 end style  

Jadi, jawaban yang tepat adalah E.

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Diketahui f : R → R , g : R → R , f ( x ) = 2 x − 1 , dan ( f ∘ g ) ( x ) = 2 x 2 − 6 x − 1 , makafungsi g ( x ) = ....

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