Matematika

Pertanyaan

diketahui (fog)(x)=4^2-22x+26 dan g(x)=2x-3.fungsi f(2)=

1 Jawaban

  • cara 1
    invers dari g(x) = 2x - 3   adalah y = 2x - 3
                                                        y + 3 = 2x
                                                        x = 1/2(y + 3) ----> 1/2(x + 3)
                                         
    f(x) = 4(1/2(x + 3))² - 22 (1/2(x + 3) + 26
          = 4(1/4 (x² + 6x + 9) - 11x - 33 + 26
          = x² - 5x + 2

    f(2) = 2² - 5(2) + 2
          = - 4

    cara 2
    g(x)    = 2
    2x - 3 = 2
          2x = 2 + 3
            x = 5/2

    (fog)(x) = 4x² - 22x + 26
                 = 4 (5/2)² - 22(5/2) + 26
                 = 25 - 55 + 26
                 = - 4

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