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Komposisi Fungsi

Komposisi Fungsi. Mesin. Gambar Apa ya?!. Mesin 1. Mesin 2. Mesin Gabungan (Mesin 1 + mesin 2). Contoh :. Misalkan dan ditentukan oleh f(x) = 2x – 3 dan g(x) = x 2 + 5. Maka tentukan nilai dari ( g o f ) (x) !. Penyelesaian :

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Komposisi Fungsi

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  1. Komposisi Fungsi

  2. Mesin Gambar Apa ya?!

  3. Mesin 1 Mesin 2 Mesin Gabungan (Mesin 1 + mesin 2)

  4. Contoh : Misalkan dan ditentukan oleh f(x) = 2x – 3 dan g(x) = x2 + 5. Maka tentukan nilai dari ( g o f ) (x) ! Penyelesaian : ( g o f ) (x) = g ( f (x) ) = g (2x – 3 ) = ( 2x - 3 )2 + 5 = 4x2 – 12x + 9 + 5 = 4x2 – 12x + 14

  5. Sifat-sifat Komposisi Fungsi : 1. Tidak komutatif ↔ ( f ○ g ) (x) ≠ ( g ○ f ) (x) • 2. Asossiatif ↔ ( ( f ○ g ) ○ h ) (x) = ( f ○ ( g ○ h ) ) (x) • 3. TerdapatfungsiindentitasI (x) = xsedemikianhingga( f ○ I ) (x) = ( I ○ f ) (x) • = f (x)

  6. Nama-nama Kelompok : • Kelompok Jeruk : • Andri • Layla • Rizcha • Irfan Kelompok Apel : Atiqoh Nidhom Lia Hanni • Kelompok Nanas : • Imro • Afida • Eny • Amiro • Kelompok Mangga : • Izun • Memey • Jojo • Aini

  7. Kesimpulan

  8. SKOR 80 78 85 70

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