Matematika

Pertanyaan

sebuah fungsi f dinyatakan dengan rumus f(x) = ax + b . jika f ( 1 ) = - 1 dan f ( 2 ) = 5 , Nilai dari f ( 5 ) + 3 = ........?
tolong dibantu ya ....

2 Jawaban

  • pers. ke 1
    f(1) = -1
    a(1)+b= -1
    a + b = -1

    pers. ke 2
    f(2) = 5
    a(2) + b = 5
    2a + b = 5

    lalu di eliminasi dan substitusikan
    a+b =-1
    2a + b = 5 (dikurangkan)
    -a = -6
    a = 6

    cari b
    a +b = -1
    6 + b = -1
    b = -7

    nilai f(5) +3
    = 6(5)+(-7) +3
    = 26
  • f (1) = -1
    f(x) = a(1) + b = a + b = -1

    f(2) = 5
    f(x) = a(2) + b = 5a + b = 5

    ELIMINASI
    a+b = -1
    2a + b = 5
    ---------------- --
    -a = -6
    a = 6

    6 + b = -1
    6 + 1 = -b
    7 = -b
    b = -7

    f(5) = 6(5) + (-7)
    = 30 - 7
    = 23

    f(5) + 3 = 23 + 3 = 26

    Jadi, nilai dari f(5) + 3 = 26

Pertanyaan Lainnya