Diketahui fungsi g(x)=1-3x dan f(x) = 2x^2+1, maka fungsi (fοg) (-1) adalah ...

FUNGSI KOMPOSISI:)

g(x) = 1 - 3x
f(x) = 2x² + 1

(fog)(-1)
= f(g(-1))

g(-1)
= 1-3(-1)
= 1+3
= 4

f(4)
= 2(4)² + 1
= 2(16) + 1
= 32 + 1
= 33

semoga berfaeda

◾ Materi : Fungsi
◾ Sub materi : Fungsi Komposisi
◾ Mapel : Matematika
◾ Keyword : Komposisi Fungsi

Jawab :
g(x) = 1-3x
f(x) = 2x² + 1

(fog)(x) = 2(1-3x)² + 1
(fog)(x) = 2(1-6x+9x²) + 1
(fog)(x) = 2-12x+18x²+1
(fog)(x) = 18x²-12x+3
(fog)(-1) = 18(-1)² -12(-1) + 3
(fog)(-1) = 18+12+3 = 33

semoga membantu
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-vin