Matematika

Pertanyaan

diketahui fungsi f(x)= ax +b , jika f(-4)= 13 dan f(3)= -1, maka nilai dari a+b =

2 Jawaban

  • ◾ Materi : Fungsi
    ◾ Sub materi : Fungsj
    ◾ Mapel : Matematika

    Jawab :
    f(x) = ax + b

    Jika, f(-4) = 13
    a(-4) + b = 13
    -4a + b = 13
    b = 13 + 4a

    f(3) = -1
    a(3) + b = -1
    3a + (13 + 4a) = -1
    3a+4a + 13 = -1
    7a = -14
    a = -2

    b = 13 + 4a
    b = 13 + 4(-2)
    b = 13 - 8
    b = 5

    maka, a+b = -2+5 = 3

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  • F(x)=ax+b
    F(-4)=13
    F(3) =-1

    F(-4)=a(-4)+b=13
    =-4a+b=13 #persamaan 1




    F(3)=a(3)+b=13
    =3a+b=-1 #persamaan 2



    -4a+b=13
    3a+b=-1
    -----------
    -a. =12
    a =12/-1
    a =-12

    Mencari b=3a+b
    =3(-12)+b
    B=-36


    Jadi a=-12
    b=-36

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