Diketahui f(x)=x+x1​x​ dan g(x)=xx−x1​​. Nilai (f×g)(21​)=....

Pertanyaan

Diketahui begin mathsize 14px style f open parentheses x close parentheses equals fraction numerator x over denominator x plus begin display style 1 over x end style end fraction end style dan begin mathsize 14px style g open parentheses x close parentheses equals fraction numerator x minus begin display style 1 over x end style over denominator x end fraction end style. Nilai begin mathsize 14px style open parentheses f cross times g close parentheses open parentheses 1 half close parentheses equals end style....

  1. begin mathsize 14px style negative 3 over 5 end style 

  2. begin mathsize 14px style negative 4 over 5 end style 

  3. begin mathsize 14px style negative 7 over 5 end style 

  4. begin mathsize 14px style negative 10 over 5 end style 

  5. begin mathsize 14px style negative 14 over 5 end style 

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Pembahasan

perkalian fungsi : 

begin mathsize 14px style open parentheses f cross times g close parentheses open parentheses 1 half close parentheses equals end stylebegin mathsize 14px style f open parentheses 1 half close parentheses cross times g open parentheses 1 half close parentheses end style

kita cari tau dulu nilai fungsinya :

begin mathsize 14px style f open parentheses 1 half close parentheses equals fraction numerator begin display style 1 half end style over denominator begin display style 1 half end style plus begin display style fraction numerator 1 over denominator begin display style 1 half end style end fraction end style end fraction equals fraction numerator begin display style 1 half end style over denominator begin display style 1 half end style plus begin display style 2 over 1 end style end fraction equals fraction numerator begin display style 1 half end style over denominator begin display style 5 over 2 end style end fraction equals 1 half cross times 2 over 5 equals 1 fifth end style

begin mathsize 14px style g open parentheses 1 half close parentheses equals fraction numerator begin display style 1 half end style minus begin display style fraction numerator 1 over denominator begin display style 1 half end style end fraction end style over denominator begin display style 1 half end style end fraction equals fraction numerator begin display style 1 half end style minus begin display style 2 over 1 end style over denominator begin display style 1 half end style end fraction equals fraction numerator negative begin display style 3 over 2 end style over denominator begin display style 1 half end style end fraction equals negative 3 over 2 cross times 2 over 1 equals negative 3 end style

maka, begin mathsize 14px style open parentheses f cross times g close parentheses open parentheses 1 half close parentheses equals end stylebegin mathsize 14px style 1 fifth cross times negative 3 equals negative 3 over 5 end style

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