Matematika

Pertanyaan

Tolong bantu jawab ya nnti dksih jawaban terbaikkk banget
1. Jika f (x) = ax+b, f (1) f (3) = 5 maka...
A. F (x) = 3x - 4
B. F (x) = 3x + 4
C. F (x) = - 3x + 4
D. F (x) = - 3x - 4
E. F (x) = 2x - 4

1 Jawaban

  • f(x) = ax + b

    *f(1) = a + b
    *f(3) = 3a + b

    f(1) f(3) = 5
    (a + b)(3a + b) = 5

    ◎ 5 = ( 1 ) ( 5 ) = ( 5 ) ( 1 )


    Misal :
    a + b = 1
    3a + b = 5
    --------------- (-)
    2a = 4
    a = 2

    a + b = 1
    b = 1 - a
    b = 1 - 2
    b = -1

    → f(x) = ax + b = 2x - 1


    Misal :
    a + b = 5
    3a + b = 1
    --------------- (-)
    2a = -4
    a = -2

    a + b = 5
    b = 5 - a
    b = 5 - (-2)
    b = 5 + 2
    b = 7

    → f(x) = ax + b = -2x + 7

    Jadi, ada 2 jwaban yaitu :
    → f(x) = 2x - 1
    → f(x) = -2x + 7

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