Matematika

Pertanyaan

Diketahui f(x)=ax+b.Jika f(4)=-13 dan f(-7)=42,maka nilai f(9) adalah...

2 Jawaban

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  • f(x) = ax+b
    f(4) = a(4)+b
    -13 = 4a+b.....1
    f(-7) = a(-7)+b
    42 = -7a+b .....2

    eliminasi persaman 1&2
    -13 = 4a+b
    42 =-7a+b  - 
    -55 = 11a
    -55/11 = a
    -5 = a

    subtitusi a = -5
    -13 = 4a+b
    -13 = 4(-5)+b
    -13 = -20+b
    20-13 = b
    7 = b

    f(x) = ax+b
    f(9) = -5(9)+7
    = -45+7
    = -38

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