Matematika

Pertanyaan

Tolong yaa sama caranya jugaa
Tolong yaa sama caranya jugaa

1 Jawaban

  • 6. Dik f(g(x)) = 8x^2+24x+15/2x+3 = h(x)
    g(x)^-1 = x-3/2
    f(x) = h(x)og(x)^-1
    f(x) = 8(x-3/2)^2+24(x-3/2)+15 / 2(x-3/2)+3
    f(x) = 8(x^2-6x+9/4) + 12x-36 + 15 / x-3+3
    f(x) = 2x^2-12x+18 + 12x-36 + 15 / x
    f(x) = 2x^2 - 3 / x
    f(1/2) = 2(1/2)^2 - 3 / 1/2
    f(1/2) = 2 (2(1/4)-3) = 1-6 = -5
    7. 4/√x+3 ≤ √x-3 (dikuadratkan)
    16 / x+3 ≤ x-3
    16 ≤ x^2-9 (jadikan ruas kanan 0)
    16 -x^2+9 ≤ 0
    -x^2+25 ≤ 0 = x^2-25 ≥ 0
    (x-5)(x+5) ≥ 0 {x≥5 / x≤-5}
    syarat akar = ≥0
    x+3 ≥ 0
    x ≥ -3
    x-3 ≥ 0
    x ≥ 3
    Irisannya adalah x≥5