Pertanyaan

Dua fungsi f dan g yang memenuhi : f ( x ) + g ( x ) = 6 x + 4 f ( x ) − g ( x ) = 4 x − 18 Untuk semua bilangan real x , maka nilai 7 ( f o g ) ( 3 ) = ⋯

Dua fungsi f dan g yang memenuhi :

$f (x) + g (x) = 6 x + 4 f (x) - g (x) = 4 x - 18$

Untuk semua bilangan real x , maka nilai $\frac{( f o g ) ( 3 )}{7} = \dots$

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Klaim

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Pembahasan

Maka

$begin mathsize 14px style straight f left parenthesis straight x right parenthesis plus straight g left parenthesis straight x right parenthesis equals 6 straight x plus 4 bottom enclose straight f left parenthesis straight x right parenthesis minus straight g left parenthesis straight x right parenthesis equals 4 straight x minus 18 space space plus end enclose 2 straight f left parenthesis straight x right parenthesis equals 10 straight x minus 14 straight f left parenthesis straight x right parenthesis equals 5 straight x minus 7 straight f left parenthesis straight x right parenthesis plus straight g left parenthesis straight x right parenthesis equals 6 straight x plus 4 bottom enclose straight f left parenthesis straight x right parenthesis minus straight g left parenthesis straight x right parenthesis equals 4 straight x minus 18 space space space minus end enclose 2 straight g left parenthesis straight x right parenthesis equals 2 straight x plus 22 straight g left parenthesis straight x right parenthesis equals straight x plus 11 fraction numerator left parenthesis straight f space straight o space straight g right parenthesis left parenthesis straight x right parenthesis over denominator 7 end fraction equals fraction numerator 5 left parenthesis straight x plus 11 right parenthesis minus 7 over denominator 7 end fraction fraction numerator left parenthesis straight f space straight o space straight g right parenthesis left parenthesis 3 right parenthesis over denominator 7 end fraction equals fraction numerator 5 left parenthesis 3 plus 11 right parenthesis minus 7 over denominator 7 end fraction equals fraction numerator 70 minus 7 over denominator 7 end fraction equals 9 end style$

Maka $begin mathsize 14px style fraction numerator left parenthesis straight f space straight o space straight g right parenthesis left parenthesis 3 right parenthesis over denominator 7 end fraction equals 9 end style$