Matematika

Pertanyaan

jika f suatu fungsi yang dinyatakan oleh f(x) = 2x - 3, maka (f^-1 o f ^-1)

2 Jawaban

  • 2x - 3 = y
    2x = y + 3
    x = (y+3)/2

    f^-1 = (y+3)/2

    f^-1 o f^-1
    = ((y+3)/2)+3)/2
    = ((y+3+6)/2)/2
    = (y+9)/4
  • f(x) = 2x - 3
    (f o f)(x) = f(f(x))
    = f(2x - 3)
    = 2(2x - 3) - 3
    = 4x - 6 - 3
    = 4x - 9
    4x - 9 = y
    4x = y + 9
    x = (y + 9)/4
    (f o f)^-1(x) = (x + 9)/4
    (f^-1 o f^-1)(x) = (x + 9)/4

Pertanyaan Lainnya