Matematika

Pertanyaan

Tolong bantuin dong, pliss secepatnya yaa:(
Tolong bantuin dong, pliss secepatnya yaa:(

1 Jawaban

  • 1.
    Fungsi terdefinisi,
    [tex]f(x)=x^2 \\ g(x)=x-4 \\ f\circ g=f(g(x))=(x-4)^2 \\ f\circ g=x^2-8x+16[/tex]
    [tex]Df\circ g=x\in R[/tex]

    2.
    Terdefinisi kecuali saat x = 0 dan x < 1
    [tex]f(x)=\sqrt{x-1} \\ g(x)=\frac{1}{x^2} \\ f\circ g=f(g(x))=\sqrt{\frac{1}{x^2}-1} \\ f\circ g=\sqrt{\frac{1-x^2}{x^2}} \\ \\ Df\circ g : \\ \frac{1-x^2}{x^2}\geq 0 \\ \frac{x^2-1}{x^2}\leq 0 \\ \frac{(x+1)(x-1)}{x^2}\leq 0 \\ -1\leq x< 0$ atau $0<x\leq 1 [/tex]