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Diketahui f ( x ) = x 4 − 2 x 2 + 1 , g ( x ) = 2 x 2 − 4 , h ( x ) = 5 x − 2 . Tentukan nilai q ( 1 ) jika q ( x ) = f ( x ) h ( x ) + g ( x ) .

Diketahui . Tentukan nilai  jika 

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

.

 begin mathsize 14px style q left parenthesis 1 right parenthesis equals negative 2 end style.

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Pembahasan
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Diketahui , dan . Maka: Jadi, .

Diketahui undefinedundefined dan undefined. Maka:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell q left parenthesis x right parenthesis end cell equals cell f left parenthesis x right parenthesis h left parenthesis x right parenthesis plus g left parenthesis x right parenthesis end cell row blank equals cell open parentheses x to the power of 4 minus 2 x squared plus 1 close parentheses times open parentheses 5 x minus 2 close parentheses plus open parentheses 2 x squared minus 4 close parentheses end cell row blank equals cell open parentheses 5 x to the power of 5 minus 2 x to the power of 4 minus 10 x cubed plus 4 x squared plus 5 x minus 2 close parentheses plus left parenthesis 2 x squared minus 4 right parenthesis end cell row blank equals cell 5 x to the power of 5 minus 2 x to the power of 4 minus 10 x cubed plus 6 x squared plus 5 x minus 6 end cell row cell q left parenthesis 1 right parenthesis end cell equals cell 5 times 1 to the power of 5 minus 2 times 1 to the power of 4 minus 10 times 1 cubed plus 6 times 1 squared plus 5 times 1 minus 6 end cell row blank equals cell 5 minus 2 minus 10 plus 6 plus 5 minus 6 end cell row blank equals cell negative 2 end cell end table end style 

Jadi, begin mathsize 14px style q left parenthesis 1 right parenthesis equals negative 2 end style.

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