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Asimtot tegak dari fungsi begin mathsize 14px style straight y equals fraction numerator 2 straight x minus 2 over denominator square root of straight x squared minus 8 straight x plus 16 end root end fraction end style  adalah ....

  1. y =1 

  2. x = 2 

  3. y = 3

  4. x = 4

  5. x = 2

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Jawaban

= 4 adalah asimtot tegak dari fungsi begin mathsize 14px style straight y equals fraction numerator 2 straight x minus 2 over denominator square root of straight x squared minus 8 straight x plus 16 end root end fraction end style.

Pembahasan

Perhatikan bahwa bentuk begin mathsize 14px style fraction numerator 2 straight x minus 2 over denominator square root of straight x squared minus 8 straight x plus end root 16 end fraction end style memiliki penyebut = 0 jika = 4.

Perhatikan bahwa

begin mathsize 14px style limit as straight x rightwards arrow 4 to the power of plus of fraction numerator 2 straight x minus 2 over denominator square root of straight x squared minus 8 straight x plus 16 end root end fraction equals infinity limit as straight x rightwards arrow 4 to the power of minus of fraction numerator 2 straight x minus 2 over denominator square root of straight x squared minus 8 straight x plus 16 end root end fraction equals negative infinity end style 

Sehingga = 4 adalah asimtot tegak dari fungsi begin mathsize 14px style straight y equals fraction numerator 2 straight x minus 2 over denominator square root of straight x squared minus 8 straight x plus 16 end root end fraction end style.

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