Matematika

Pertanyaan

dik : f (×) = x pangkat 2 + 2
g(x) = ( x +2) pangkat 2
carilah :
a) (fog) (2)
b) (fof ) (-3)
c) (gof) (-2)
d) (gof) (4)

1 Jawaban

  • (fog)(x)=f((x+2)²)=((x+2)²)²+2
    =(x+2)⁴+2
    (gof)(x)=g(x²+2)=(x²+2+2)²=(x²+4)²
    fof(x)=f(f(x))=f(x²+2)=(x²+2)²+2
    A.f(g(2))=(2+2)⁴+2=256+2=258
    B.f(f(-3))=((-3)²+2)²+2=121+2=123
    C.g(f(-2))=((-2)²+4)²=64
    D.g(f(4)) =(4²+4)²=400

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