Diketahui f(x)=21​x+4 dan g(x)=31​x−2. Nilai dari f(2)+g(9)−(f∘g)−1(−3)= ....

Pertanyaan

Diketahui dan . Nilai dari ....

  1.  

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

Pembahasan

Diketahui dan .

kita cari nilai fungsinya

begin mathsize 14px style f left parenthesis 2 right parenthesis equals 1 half open parentheses 2 close parentheses plus 4 equals 1 plus 4 equals 5 g left parenthesis 9 right parenthesis equals 1 third left parenthesis 9 right parenthesis minus 2 equals 3 minus 2 equals 1 end style

kemudian kita cari fungsi komposisinya:

begin mathsize 14px style open parentheses f ring operator g close parentheses left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis end style

                begin mathsize 14px style equals f open parentheses 1 third x minus 2 close parentheses equals 1 half open parentheses 1 third x minus 2 close parentheses plus 4 equals 1 over 6 x minus 1 plus 4 equals 1 over 6 x plus 3 end style

kemudian kita cari invernya :

begin mathsize 14px style y equals 1 over 6 x plus 3 y minus 3 equals 1 over 6 x 6 left parenthesis y minus 3 right parenthesis equals x open parentheses f ring operator g close parentheses to the power of negative 1 end exponent left parenthesis x right parenthesis equals 6 left parenthesis x minus 3 right parenthesis open parentheses f ring operator g close parentheses to the power of negative 1 end exponent left parenthesis negative 3 right parenthesis equals 6 left parenthesis negative 3 minus 3 right parenthesis equals 6 open parentheses negative 6 close parentheses equals negative 36 end style

Nilai dari size 14px f size 14px left parenthesis size 14px 2 size 14px right parenthesis size 14px plus size 14px g size 14px left parenthesis size 14px 9 size 14px right parenthesis size 14px minus begin mathsize 14px style left parenthesis f ring operator g right parenthesis end style to the power of size 14px minus size 14px 1 end exponent size 14px left parenthesis size 14px minus size 14px 3 size 14px right parenthesis size 14px equals size 14px 5 size 14px plus size 14px 1 size 14px minus size 14px left parenthesis size 14px minus size 14px 36 size 14px right parenthesis size 14px equals size 14px 42 

jadi, jawabannya E

39

3.6 (3 rating)

Cecilia Bunga

Jawaban tidak sesuai

Pertanyaan serupa

Jika f(x)=x−34x−2​;x=3 dan g(x)=x−43x−2​;x=2.. Tentukanlah (f−1∘g−1)(x) dan (g−1∘f−1)(x).

184

4.1

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