Matematika

Pertanyaan

jika diketahui fungsi f (x) = 3x + 5, g (x) = 2x dan h (x) = x2 +2.
tentukan
a. (f ○ g) ○h
b. f○ (g ○ h)
c. g○ ( f ○ h )
d. ( g ○ f ) ○ h

1 Jawaban

  • a.
    (f o g) = 3(2x) + 5 = 6x + 5
    (foh)oh = 6(x2 + 2) + 5 = 6x2 +12+5 = 6x2+17

    b.
    goh = 2(x2+2) = 2x2 + 4
    fo(goh) = 3(2x2 +4) +5 = 6x2 +12 + 5 = 6x2+17
    c.
    foh = 3(x2+2) + 5 = 3×2+6+5 = 3×2+11
    go(foh) = 2 (3×2+11) = 6×2 +22

    d.
    gof = 2(3×+5) = 6× +10
    (gof)oh = 6(x2+2) +10 = 6×2 +12 +10 = 6×2+22

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