Matematika

Pertanyaan

apabila f(x)=9x- x^{2} , berapakah nilai f(2)-f(2 \sqrt{5} =.....

1 Jawaban

  • [tex]f(x) = 9x - x^{2}[/tex]
    f(2) = (9 x 2) - [tex]2^{2}[/tex] = 18 - 4 = 14
    f(2[tex]\sqrt{5}[/tex]) = (9 x 2[tex]\sqrt{5}[/tex]) - [tex](2\sqrt{5})^{2}[/tex] = 18[tex]\sqrt{5}[/tex] - 20
    f(2) - f(2[tex]\sqrt{5}[/tex]) = 14 - (18[tex]\sqrt{5}[/tex] - 20) = 14 - 18[tex]\sqrt{5}[/tex] + 20 = 34 - 18[tex]\sqrt{5}[/tex]

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