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Titik potong kurva f ( x ) = 4 log (x 2 – 3x + 2) di sumbu X dan sumbu Y berturut-turut adalah…

Titik potong kurva f(x) = 4log (x2 – 3x + 2) di sumbu X dan sumbu Y berturut-turut adalah…

  1. begin mathsize 14px style open parentheses 3 over 2 comma space 0 close parentheses comma space open parentheses 1 half comma space 0 close parentheses space d a n space open parentheses 0 comma space 1 half close parentheses end style

  2. begin mathsize 14px style open parentheses fraction numerator square root of 5 over denominator 2 end fraction comma space 0 close parentheses comma space open parentheses fraction numerator 3 minus square root of 5 over denominator 2 end fraction comma space 0 close parentheses space d a n space open parentheses 0 comma space 1 half close parentheses end style

  3. begin mathsize 14px style left parenthesis 2 comma space 0 right parenthesis comma space left parenthesis 5 comma space 0 right parenthesis space d a n space left parenthesis 0 comma space 1 right parenthesis end style

  4. begin mathsize 14px style left parenthesis 2 comma space 0 right parenthesis comma space left parenthesis 1 comma space 0 right parenthesis space d a n space left parenthesis 0 comma space 1 right parenthesis end style

  5. begin mathsize 14px style open parentheses fraction numerator 3 plus square root of 5 over denominator 2 end fraction comma space 0 close parentheses comma space open parentheses fraction numerator 3 minus square root of 5 over denominator 2 end fraction comma space 0 close parentheses space d a n space open parentheses 0 comma space 1 half close parentheses end style

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

titik potong kurva terhadap sumbu X dan sumbu Y yaitu : dan

titik potong kurva terhadap sumbu X dan sumbu Y yaitu : open parentheses fraction numerator 3 minus square root of 5 over denominator 2 end fraction comma space 0 close parentheses space semicolon space open parentheses fraction numerator 3 plus square root of 5 over denominator 2 end fraction comma space 0 close parentheses dan open parentheses 0 comma space 1 half close parentheses

Pembahasan

Titik potong sumbu X y=0 f( x ) = 4 log (x 2 – 3x + 2) 0 = 4 log (x 2 – 3x + 2) 4 log1 = 4 log (x 2 – 3x + 2) 1 = x 2 – 3x + 2 x 2 – 3x + 1 = 0 Maka titik potong sumbu X-nya adalah Titik potong sumbu Y x=0 f ( x ) = 4 log (x 2 – 3x + 2) Maka titik potong sumbu Y-nya adalah Jadi, titik potong kurva terhadap sumbu X dan sumbu Y yaitu : dan

Titik potong sumbu X rightwards arrow y=0

f(x) = 4log (x2 – 3x + 2)

0 = 4log (x2 – 3x + 2)

4log 1 = 4log (x2 – 3x + 2)

1 = x2 – 3x + 2

x2 – 3x + 1 = 0

x subscript 1 comma 2 end subscript equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction

x subscript 1 comma 2 end subscript equals fraction numerator negative left parenthesis negative 3 right parenthesis plus-or-minus square root of left parenthesis negative 3 right parenthesis squared minus 41.1 right parenthesis end root over denominator 2.1 end fraction

x subscript 1 comma 2 end subscript equals fraction numerator 3 plus-or-minus square root of 5 over denominator 2 end fraction

Maka titik potong sumbu X-nya adalah open parentheses fraction numerator 3 minus square root of 5 over denominator 2 end fraction comma space 0 close parentheses space d a n space open parentheses fraction numerator 3 plus square root of 5 over denominator 2 end fraction comma space 0 close parentheses

Titik potong sumbu Y rightwards arrow x=0

f(x) = 4log (x2 – 3x + 2)

y equals log presubscript space presuperscript 2 squared end presuperscript 2

y equals 1 half

Maka titik potong sumbu Y-nya adalah open parentheses 0 comma space 1 half close parentheses

Jadi, titik potong kurva terhadap sumbu X dan sumbu Y yaitu : open parentheses fraction numerator 3 minus square root of 5 over denominator 2 end fraction comma space 0 close parentheses space semicolon space open parentheses fraction numerator 3 plus square root of 5 over denominator 2 end fraction comma space 0 close parentheses dan open parentheses 0 comma space 1 half close parentheses

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