Diketahui f(x)=x+x1x 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 $\style{font-size:14px}{\left(f\times g\right)\left(\frac12\right)=}$ ....

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

perkalian fungsi :

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,