Matematika

Pertanyaan

(g o f)(x) = 4x^2 + 8x - 3
f(x) = 2x + 4

Ditanya : g^ -1 (x) = ........
(g o f)(x) = 4x^2 + 8x - 3 f(x) = 2x + 4 Ditanya : g^ -1 (x) = ........

1 Jawaban

  • gof=4x^2+8x-3, f(x)=2x+4
    f-1(x)=1/2(x-4)
    gofof-1=g(x)
    gofof-1=4(1/2(x-4))^2+8(1/2(x-4))-3
    =4(1/4(x^2-8x+16))+4(x-4)-3
    =x^2-8x+16+(4x-16)-3
    =x^2-4x-3
    ..
    g(x)=(x-2)^2-7
    g-1(x)= 2+ akar(x+7)