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Pertanyaan

Diberikan f(x) = 2 - 5x 2 , dan g(x) = x - x 4 + 1. Nilaif(x) ⋅ g(x) = ….

Diberikan f(x) = 2 - 5x, dan g(x) = xbegin mathsize 14px style blank squared end style - x + 1. Nilai f(x) ⋅ g(x) = ….

  1. 2 + 5xbegin mathsize 14px style blank squared end style - 7xbegin mathsize 14px style blank to the power of 4 end style - 5xbegin mathsize 14px style blank to the power of 6 end style

  2. 2 - 5xbegin mathsize 14px style blank squared end style - 7xbegin mathsize 14px style blank to the power of 4 end style - 5xbegin mathsize 14px style blank to the power of 6 end style

  3. 2 - 5xbegin mathsize 14px style blank squared end style - 7xbegin mathsize 14px style blank to the power of 4 end style + 5xbegin mathsize 14px style blank to the power of 6 end style

  4. 2 - 3xbegin mathsize 14px style blank squared end style - 7xbegin mathsize 14px style blank to the power of 4 end style + 5xbegin mathsize 14px style blank to the power of 6 end style

  5. 2 - 3xbegin mathsize 14px style blank squared end style + 7xbegin mathsize 14px style blank to the power of 4 end style + 5xbegin mathsize 14px style blank to the power of 6 end style

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N. Nurul

Master Teacher

Jawaban terverifikasi

Pembahasan

Dari soal, diperoleh f(x) = 2 - 5x g(x) = x - x + 1 Perhatikan bahwa Maka jawabannya adalah D.

Dari soal, diperoleh

f(x) = 2 - 5xbegin mathsize 14px style blank squared end style

g(x) = xbegin mathsize 14px style blank squared end style - xbegin mathsize 14px style blank to the power of 4 end style + 1

Perhatikan bahwa

begin mathsize 14px style f open parentheses x close parentheses times g left parenthesis x right parenthesis equals open parentheses 2 minus 5 x squared close parentheses times open parentheses x squared minus x to the power of 4 plus 1 close parentheses equals 2 times x squared minus 2 times x to the power of 4 plus 2 times 1 minus 5 x squared times x squared minus 5 x squared times open parentheses negative x to the power of 4 close parentheses minus 5 x squared times 1 equals 2 x squared minus 2 x to the power of 4 plus 2 minus 5 x to the power of 4 plus 5 x to the power of 6 minus 5 x squared equals 2 plus 2 x squared minus 5 x squared minus 2 x to the power of 4 minus 5 x to the power of 4 plus 5 x to the power of 6 equals 2 minus 3 x squared minus 7 x to the power of 4 plus 5 x to the power of 6 end style 

Maka jawabannya adalah D.

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