Matematika

Pertanyaan

mohon bantuanya nomor 4 bagian A dan C. terima kasih ditunggu
mohon bantuanya nomor 4 bagian A dan C. terima kasih ditunggu

1 Jawaban

  • jawab

    a. 
    f(x) =  2x² + 3x - 5
    g(x) =  3x-2
    fog(x) = f{ g(x)}
    = f{3x -2}
    = 2(3x - 2)² + 3(3x - 2) - 5
    = 2(9x² - 12x + 4) + 9x - 6 - 5
    = 18x² - 24x + 8 + 9x - 11
    = 18x² - 15x - 3

    gof(x)= g {f(x)}
    = g(2x²+ 3x - 5) 
    = 3(2x² + 3x - 5)
    = 6x² + 9x - 15

    c)
    f(x) = 2x + 5
    g(x) = (x -1)/(x + 4)

    fog(x) = f{ g(x)}
    = f { (x-1)/(x+4) }
    = 2 (x-1)/(x+4) + 5
    = { 2(x -1) + 5(x + 4) }/(x + 4)
    = (2x - 2 + 5x +20) / (x  + 4)
    = (7x  + 18)/(x + 4)

    gof(x) = g { f(x) }
    = g {2x+ 5)
    = { 2x + 5 - 1 } / {2x+ 5 - 4}
    = (2x + 4)/(2x+ 1)