Diketahui fungsi g(x) = 2x-4 , (fog)(x) = 4x+6 . Tentukan f(x) dan f(10)

◾ Materi : Fungsi Komposisi
◾ Sub materi : Komposisi
◾ Mapel : Matematika
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Jawab :
g(x) = 2x-4
(fog)(x) = 4x+6

f(g(x)) = 4x+6
f(2x-4) = 4x+6

misalkan :
2x-4 = u
2x = u+4
x = ½(u+4)

f(u) = 4(½(u+4)) + 6
f(u) = 2(u+4) + 6
f(u) = 2u+8+6
f(u) = 2u+14

f(x) = 2x+14
f(10) = 2(10) + 14
f(10) = 20+14 = 34

semoga membantu
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-vin

Mapel : Matematika
Materi : Fungsi
Sub Materi : Fungsi Komposisi
————————————————————
Dik :
g(x) = 2x - 4
(fog)(x) = 4x + 6

Dit :
f(x).....?
f(10)....?

Pembahasan ⬇️⬇️⬇️
(fog)(x) = 4x + 6
f(2x - 4) = 4x + 6

Misalkan :
2x - 4 = a
2x = a + 4
x = ( a + 4 ) / 2

f(2x - 4) = 4x + 6
f(a) = 4 ( (a + 4 ) / 2 ) + 6
f(a) = 2 ( a + 4 ) + 6
f(a) = 2a + 8 + 6
f(a) = 2a + 14
f(x) = 2x + 14 ✔️

f(x) = 2x + 14
f(10) = 2 ( 10 ) + 14
f(10) = 20 + 14
f(10) = 34 ✔️

Semoga bermanfaat.....
-Prisco