Matematika

Pertanyaan

Tentukan f(x) jika:
1. f(x+3)=6-5x
2. f(2x-7)=4x-3
3. f(2-x) =x^2-10

1 Jawaban

  • jawab

    1. f(x+3)= 6 - 5x
    x+ 3 = y
    x= y-3
    f(y) = 6 - 5(y-3)
    f(x)= 6 - 5(x-3)
    f(x)= 6 - 5x + 15
    f(x)= 21 - 5x

    2. f(2x-7) = 4x - 3
    2x-7 = y
    x= (y +7)/2
    f(y) = 4(y+7)/2 -3
    f(x)= 4(x +7)/2  - 3
    f(x)= 2(x+7) - 3
    f(x)= 2x + 14 - 3
    f(x)= 2x + 11

    3. f(2-x) = x² -10
    2-x = y
    x  = 2 -y
    f(y) = (2-y)² -10
    f(x)= (2 -x)² -10
    f(x)= 4 - 4x + x² -10
    f(x)= x² - 4x - 6

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