SBMPTN

Pertanyaan

JIka f(x) = 3 - x^3 dan g(x) = 1/x+5, maka nilai (g o f) (2) adalah ...

A. 1/2
B. 1/4
C. 1/6
D. 1/8
E. 1/12

2 Jawaban

  • f(x) = 3 - x³
    f(2) = 3 - 2³
    f(2) = -5

    g(f(2)) = g(-5) = 1/(-5) + 5 = 24/25 (F) 
  • gof(x) = 1/(3-x^3) + 5
    =1/3-x^3+5
    = 1/2-x^3
    gof(2)= 1/2-(2)^3
    =1/2-8
    =1/-6

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