Matematika

Pertanyaan

tolong di jawab soal ini ya kk(please)
tolong di jawab soal ini ya kk(please)

1 Jawaban

  • (f o g)(x) = f(g(x))
    1/x-2 √x² - 4x + 5 = √g(x)² + 1
    [1/x-2 √x² - 4x + 5]² = g(x)² + 1
    1/(x-2)² x² - 4x + 5 = g(x)² + 1
    x² - 4x + 5 / x² -4x + 4 = g(x)² + 1
    [x² - 4x + 5 / x² -4x + 4] - 1 = g(x)²
    [x² - 4x + 5 / x² -4x + 4] - [ x² -4x + 4 / x² -4x + 4 ] = g(x)²
    [x² - 4x + 5 - (x² -4x + 4)] / x² -4x + 4 = g(x)²
    [1/x² -4x + 4] = g(x)²
    [1/(x-2)²] = g(x)²
    1/x-2 = g(x)
    g(3-x) = 1/(3-x) - x
    = 1/ 3-2x
    Sorry ya kalo salah....