Matematika

Pertanyaan

Diketahui g(x)=3-2x dan (gof) (x) =x pangkat 2 -x+4 tentukan a. (fog) (x) b. (gof) (-5)

1 Jawaban

  • A.
    (gof) (x)= x²-x+4
    3-2(f(x))= x²-x+4
    -2f(x) = x²-x+4-3
    f(x) = x²-x+1 / -2
    maka
    (fog) (x) = (3-2x)²-(3-2x) +1 / -2
    = 9-12x+4x²-3+2x+1 / -2
    = 7+10x + 4x²
    =-7/2 - 5x - 2x²

    B.
    f(-5)= (-5)²-(-5)+1 / -2
    = 25+5+1 / -2
    = 31/-2
    g(31/-2)=3-2(31/-2)
    =3+62
    =65
    jadi (gof))(-5)=65

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