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Jika begin mathsize 14px style f open parentheses x close parentheses equals x squared minus 49 end style dan undefined, maka nilai dari begin mathsize 14px style open parentheses f minus g close parentheses open parentheses 5 minus 2 square root of 6 close parentheses end style adalah...

  1. begin mathsize 14px style square root of 2 minus square root of 3 minus 20 square root of 6 end style 

  2. begin mathsize 14px style square root of 2 minus square root of 3 plus 20 square root of 6 end style 

  3. begin mathsize 14px style square root of 2 plus square root of 3 minus 20 square root of 6 end style 

  4. begin mathsize 14px style square root of 2 minus square root of 3 minus 10 square root of 6 end style 

  5. begin mathsize 14px style square root of 2 plus square root of 3 plus 10 square root of 6 end style 

F. Ayudhita

Master Teacher

Jawaban terverifikasi

Pembahasan

pengurangan fungsi:

begin mathsize 14px style open parentheses f minus g close parentheses open parentheses 5 minus 2 square root of 6 close parentheses end stylebegin mathsize 14px style equals open parentheses f minus g close parentheses open parentheses 5 minus 2 square root of 6 close parentheses equals f open parentheses open parentheses 5 minus 2 square root of 6 close parentheses close parentheses minus g open parentheses open parentheses 5 minus 2 square root of 6 close parentheses close parentheses end style

kita cari dulu nilai fungsinya ya:

begin mathsize 14px style f open parentheses 5 minus 2 square root of 6 close parentheses equals open parentheses 5 minus 2 square root of 6 close parentheses squared minus 49 equals 25 minus 20 square root of 6 plus 24 minus 49 equals negative 20 square root of 6 end style

g open parentheses size 14px 5 size 14px minus size 14px 2 square root of size 14px 6 close parentheses equalssquare root of size 14px 5 size 14px minus size 14px 2 square root of size 14px 6 end root size 14px equals square root of size 14px left parenthesis size 14px 3 size 14px plus size 14px 2 size 14px right parenthesis size 14px minus size 14px 2 square root of size 14px 3 size 14px cross times size 14px 2 end root end root size 14px equals square root of size 14px 3 size 14px minus square root of size 14px 2

maka.

begin mathsize 14px style open parentheses f minus g close parentheses open parentheses 5 minus 2 square root of 6 close parentheses end stylebegin mathsize 14px style equals negative 20 square root of 6 minus open parentheses square root of 3 minus square root of 2 close parentheses equals negative 20 square root of 6 minus square root of 3 plus square root of 2 end style

jadi, begin mathsize 14px style square root of 2 minus square root of 3 minus 20 square root of 6 end style

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Diketahui F(x)=5x−9 dan G(x)=2−6x. Tentukan nilai x yang memenuhi persamaan 2[F(x)−G(x)]=G(x)

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