Pertanyaan

Diketahui f ( x ) = 2 x + 1 5 x − 4 . Nilai f ( − 1 ) adalah ....

Diketahui $f (x) = \frac{5 x - 4}{2 x + 1}$ . Nilai $f (- 1)$ adalah ....

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I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style u equals 5 x minus 4 space space space space space space space space space space space space space space space space space space v equals 2 x plus 1 u apostrophe equals 5 space space space space space space space space space space space space space space space space space space space space space space space space v apostrophe equals 2 f apostrophe open parentheses x close parentheses equals fraction numerator u apostrophe v minus v apostrophe u over denominator v squared end fraction space space space space space space space equals fraction numerator 5 open parentheses 2 x plus 1 close parentheses minus 2 open parentheses 5 x minus 4 close parentheses over denominator open parentheses 2 x plus 1 close parentheses squared end fraction space space space space space space space equals fraction numerator 10 x plus 5 minus 10 x plus 8 over denominator open parentheses 2 x plus 1 close parentheses squared end fraction space space space space space space space equals 13 over open parentheses 2 x plus 1 close parentheses squared f apostrophe open parentheses negative 1 close parentheses equals 13 over open parentheses 2 comma negative 1 plus 1 close parentheses squared equals 13 over 1 equals 13 end style$