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Di antara fungsi berikut yang ekuivalen dengan f(x)=x2−10x+9 adalah ...

Pertanyaan

Di antara fungsi berikut yang ekuivalen dengan begin mathsize 14px style f open parentheses x close parentheses equals x squared minus 10 x plus 9 end style adalah ...

  1. begin mathsize 14px style g open parentheses x close parentheses equals open parentheses x minus 5 close parentheses squared plus 9 end style 

  2. begin mathsize 14px style g open parentheses x close parentheses equals open parentheses x minus 5 close parentheses squared minus 16 end style 

  3. begin mathsize 14px style g open parentheses x close parentheses equals open parentheses x plus 5 close parentheses squared plus 9 end style 

  4. begin mathsize 14px style g open parentheses x close parentheses equals open parentheses x plus 5 close parentheses squared minus 16 end style 

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

size 14px f begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px x to the power of size 14px 2 size 14px minus size 14px 10 size 14px x size 14px plus size 14px 9 bisa diubah ke dalam bentuk kuadrat sempurna sebagai berikut:

size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px space size 14px equals begin mathsize 14px style left parenthesis x plus fraction numerator b over denominator 2 a end fraction right parenthesis end style to the power of size 14px 2 size 14px minus begin mathsize 14px style left parenthesis fraction numerator b over denominator 2 a end fraction right parenthesis end style to the power of size 14px 2 size 14px plus size 14px space size 14px c size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px space size 14px equals begin mathsize 14px style left parenthesis x plus fraction numerator negative 10 over denominator 2 times 1 end fraction right parenthesis end style to the power of size 14px 2 size 14px minus begin mathsize 14px style left parenthesis fraction numerator negative 10 over denominator 2 times 1 end fraction right parenthesis end style to the power of size 14px 2 size 14px plus size 14px space size 14px 9 size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px space size 14px equals begin mathsize 14px style left parenthesis x minus 5 right parenthesis end style to the power of size 14px 2 size 14px minus begin mathsize 14px style left parenthesis negative 5 right parenthesis end style to the power of size 14px 2 size 14px plus size 14px space size 14px 9 size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px space size 14px equals begin mathsize 14px style left parenthesis x minus 5 right parenthesis end style to the power of size 14px 2 size 14px minus size 14px 16 

Jadi, jawaban yang tepat adalah B.

222

5.0 (3 rating)

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