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Himpunan penyelesaian dari x - 1 3 x - 1 = x - 1 x +3 adalah ...

Himpunan penyelesaian dari open parentheses x minus 1 close parentheses to the power of 3 x minus 1 end exponent equals open parentheses x minus 1 close parentheses to the power of x plus 3 end exponent adalah ...

  1. open curly brackets negative 2 comma negative 1 comma space 0 comma space 1 close curly brackets

  2. left curly bracket negative 1 comma space 1 comma space 2 comma space 3 right curly bracket

  3. open curly brackets 0 comma space 1 comma space 2 close curly brackets

  4. left curly bracket 1 comma space 2 right curly bracket

  5. left curly bracket 0 comma space 1 right curly bracket

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M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

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Pembahasan

open parentheses straight x minus 1 close parentheses to the power of 3 straight x minus 1 end exponent equals open parentheses straight x minus 1 close parentheses to the power of straight x plus 3 end exponent Syarat colon 1. right parenthesis space 3 straight x minus 1 equals straight x plus 3 straight space space space space space space space space space space space space space space 2 x equals 4 space space space space space space space space space space space space space space space space straight x equals 2  2. right parenthesis space space straight x minus 1 equals 1 space space space space space space space space space space space space space space space space space space space space space space space straight x equals 2  3. right parenthesis space space straight x minus 1 equals negative 1 space space space space space space space space space space space space space space space space space space space space space space space straight x equals 0 space space space space space space space Asalkan colon space space space space space space space straight f left parenthesis straight x right parenthesis equals 3 straight x minus 1 space space space space space space space space straight f left parenthesis 0 right parenthesis equals 3.0 minus 1 equals negative 1 space left parenthesis ganjil right parenthesis space space space space space space space dan space space space space space space space space straight g left parenthesis straight x right parenthesis equals straight x plus 3 space space space space space space space space straight g left parenthesis 0 right parenthesis equals 0 plus 3 equals 3 space left parenthesis ganjil right parenthesis space space space space space space space Karena space straight f left parenthesis straight x right parenthesis space dan space straight g left parenthesis straight x right parenthesis space sama minus sama space space space space space space space bernilai space ganjil comma space maka space nilai space straight x equals 0 space space space space space space space space memenuhi. 4. right parenthesis space space x minus 1 equals 0 space space space space space space space space space space space space space space x equals 1 space space space space space space space Asalkan colon space space space space space space space straight f left parenthesis straight x right parenthesis equals 3 straight x minus 1 space space space space space space space space straight f left parenthesis 1 right parenthesis equals 3.1 minus 1 equals 2 space space space space space space space space dan space space space space space space space space straight g left parenthesis straight x right parenthesis equals straight x plus 3 space space space space space space space space straight g left parenthesis 1 right parenthesis equals 1 plus 3 equals 4 space space space space space space space Karena space straight f left parenthesis straight x right parenthesis greater than 0 space dan space straight g left parenthesis straight x right parenthesis greater than 0 comma space space space space space space space maka space nilai space straight x equals 1 space memenuhi. space Jadi comma space himpunan space penyelesaiannya adalah colon space left curly bracket 0 comma 1 comma 2 right curly bracket.

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