Matematika

Pertanyaan

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1 Jawaban

  • g(x) =3x - 10
    h(x) = 4x + n

    (goh)(x) = (hog)(x)
    g(h(x)) = h(g(x))
    3(4x + n) - 10 = 4(3x - 10) + n
    12x + 3n - 10 = 12x - 40 + n
    3n - n = - 40 + 10
    2n = -30
    n =  -15

    P(x) = 3x² - 2
    T(x) = [tex] \frac{x}{x - 5} [/tex]

    P(T(x)) = [tex]3( \frac{x}{x - 5})^{2} - 2 \\ 3( \frac{x^{2}}{(x - 5)^{2}}) - 2 \\ \frac{3x^{2} - 2(x - 5)^{2}}{(x - 5)^{2}} \\ \frac{3x^{2} - 2(x^{2} - 10x + 25)}{(x - 5)^{2}} \\ \frac{3x^{2} - 2x^{2} + 20x - 50}{(x - 5)^{2}} \\ \frac{x^{2} + 20x - 50}{(x - 5)^{2}}, x \neq 5 [/tex]