Matematika

Pertanyaan

1).F(x)=x^-x-6
g(x)=x+3
h(x)=x+3
Ditanya:
a)((fog)oh)(x)
b)((fo(goh)(x)
c)(fog)oh)(2)
d)(f/h)(x)
e)(f/h)(2)

1 Jawaban

  • a).cari dulu (fog) =(x+3)^2 - (x+3) - 6
                               =(x^2+6x+9) - (x+3) - 6
                               =x^2+6x-x+9-3-6
                               =x^2+5 (hasil fog)
         selanjutnya ((fog)oh)=(x+3)^2+5(x+3)
                                          =(x^2+6x+9)+5x+15
                                          =x^2+6x+5x+15
                                          =x^2+11x+24 (hasil (fog)oh)

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