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Langganan aktif akan dibatalkan, akses Nakafa Pro berakhir, dan sekolah yang kamu buat akan dialihkan ke anggota aktif lain.","delete-account-session-expired":"Sesi ini sudah terlalu lama. Masuk lagi untuk melanjutkan.","delete-account-school-member-required":"Tambahkan satu anggota aktif ke setiap sekolah yang kamu buat, lalu coba lagi.","delete-account-error":"Akunmu belum bisa dihapus. Tunggu sebentar, lalu coba lagi.","delete-account-sign-in-again":"Masuk lagi","teacher":"Guru","student":"Siswa","parent":"Orang tua","administrator":"Administrator","save":"Simpan","developers":"Developer","developers-description":"Akses alat developer, API key, dan sumber integrasi untuk membangun aplikasi dengan konten dan layanan edukasi Nakafa.","api-key":"API Key","api-key-description":"Kelola API keys untuk autentikasi dengan API Nakafa.","api-key-footer":"Buat API key baru di sini.","api-key-confirmation-description":"Simpan API key kamu baik-baik ya, jangan sampai hilang.","new-api-key":"API Key Baru","api-key-created":"Sip, API key berhasil dibuat!","no-api-keys":"Kamu belum punya API key.","create":"Buat","api-key-name":"Nama API Key","api-key-name-placeholder":"Masukkan nama API key kamu...","expires-in":"Kadaluarsa dalam","expires-in-placeholder":"Hari hingga kadaluarsa...","7-days":"7 hari","30-days":"30 hari","90-days":"90 hari","180-days":"180 hari","365-days":"365 hari","never":"Tidak pernah","expires":"Kadaluarsa","api-key-copied":"API key udah disalin!","delete-api-key":"Hapus API Key","delete-api-key-description":"Yakin mau hapus API key ini? 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Jadi $$k=2$$.\n\nMasukkan keduanya ke operasi terakhir:\n\n$$\\triangle(5,9)=5(2)+\\frac{9}{1}=19$$\n\nJadi $$\\triangle(5,9)=19$$.","projectile-title":"Gerak yang sulit dibayangkan jadi lebih mudah saat bisa kamu lihat sendiri","projectile-controls":"Pilih lintasan bola meriam","projectile-sixty-degree":"Enam Puluh Derajat","projectile-long-drive":"Jarak Jauh","projectile-high-arc":"Lengkung Tinggi","projectile-view-label":"Visual analisis gerak parabola bola meriam","projectile-horizontal-component":"Komponen mendatar","projectile-vertical-component":"Komponen vertikal","projectile-peak-time":"Waktu puncak","projectile-flight-time":"Waktu terbang","projectile-range":"Jangkauan","projectile-instantaneous-velocity":"Kecepatan pada dua detik"},"CurriculaSection":{"headline":"Kurikulummu boleh berbeda. Alur belajarmu tetap menyatu.","description":"Mulai dari jalur sekolahmu. 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Pada setiap fase penularan, jumlah orang yang tertular akan bertambah dengan pola yang menarik:","lesson-sequence-math":"1 = 2^0 \\quad 2 = 2^1 \\quad 4 = 2 \\times 2 = 2^2 \\quad 8 = 2 \\times 2 \\times 2 = 2^3 \\quad 16 = 2 \\times 2 \\times 2 \\times 2 = 2^4"},"About":{"meta-title":"Materi Belajar Terbuka Gratis dari SD sampai Universitas","title":"Belajar sampai paham.","description":"Pilih pelajaran, uji pemahaman lewat Tryout, lalu tanya Nina saat kamu buntu.","explore-subjects":"Jelajahi pelajaran","try-tryout":"Coba Tryout","contribute":"Kontribusi","start-learning":"Mulai belajar","join-community":"Bergabung komunitas","community-title":"Ketemu orang yang ngerti apa yang kamu pelajari","community-description":"Di balik tiap materi ada orang yang pernah bingung juga. Gabung Discord buat tanya jawab, bagi-bagi sumber belajar, atau bantu yang lain.","curriculum-title":"Belajar apa yang kamu butuhin, pas kamu butuhin","curriculum-description":"Pilih tingkatmu, pelajari materi apa saja, atau cari solusi masalahmu. Nggak perlu scroll lama-lama.","company":"Perusahaan","community":"Komunitas","about-us":"Tentang Kami","trusted-badge":"Belajar bersama","trusted-headline":"Siswa dan mahasiswa dari sekolah dan universitas ini belajar dengan Nakafa.","trusted-description":"Mereka mulai dari materi terbuka, lalu lanjut sesuai ritme masing-masing."},"File":{"exceeds-max-size":"{fileName} kegedean nih, maksimal {maxSizeFormatted} ya.","exceeds-max-size-multiple":"{fileName} kegedean nih, maksimal {maxSizeFormatted} ya.","not-accepted-file-type":"{fileName} tipenya nggak bisa diterima.","max-files-exceeded":"Maksimal {maxFiles} file yang diperbolehkan.","some-files-exceed-max-size":"Beberapa file melebihi ukuran maksimal {maxSizeFormatted}.","file-exceeds-max-size":"File melebihi ukuran maksimal {maxSizeFormatted}.","unknown-file":"File tidak dikenal","unknown-file-size":"Ukuran file tidak dikenal"},"Legal":{"terms-and-policies":"Syarat dan Kebijakan","terms-of-service":"Syarat dan Ketentuan","terms-of-service-description":"Baca Syarat dan Ketentuan Nakafa untuk memahami aturan dan panduan penggunaan platform dan layanan edukasi kami.","privacy-policy":"Kebijakan Privasi","privacy-policy-description":"Pelajari bagaimana Nakafa mengumpulkan, menggunakan, dan melindungi data pribadi dan privasi kamu saat menggunakan platform belajar kami.","security-policy":"Kebijakan Keamanan","security-policy-description":"Tinjau praktik dan kebijakan keamanan Nakafa untuk memahami bagaimana kami melindungi data dan menjamin keamanan platform.","legal-description":"Dengan menggunakan layanan kami, Anda setuju dengan Syarat dan Ketentuan dan Kebijakan Privasi."},"School":{"Common":{"home":"Beranda","learning":"Belajar","classes":"Kelas","nakafa-materials":"Materi Nakafa","yours":"Untukmu","notifications":"Notifikasi"},"Classes":{"classes":"Kelas","search-placeholder":"Cari kelas...","create-class":"Buat kelas","create-class-description":"Siapkan ruang belajar untuk materi, asesmen, dan diskusi siswa.","create":"Buat","name-label":"Nama","name-placeholder":"Kelas 10A","subject-label":"Mata pelajaran","subject-placeholder":"Matematika","year-label":"Tahun ajaran","year-placeholder":"2024/2025","create-class-failed":"Gagal bikin kelas nih. Coba lagi ya.","no-classes-found":"Belum ada kelas nih.","no-subjects-found":"Mata pelajaran nggak ketemu.","search-subjects-placeholder":"Cari mata pelajaran...","join-class":"Gabung kelas","join-class-description":"Masukkan kode undangan untuk masuk ke kelas yang sudah dibuat.","join":"Gabung","code":"Kode","code-placeholder":"Masukkan kode...","join-class-failed":"Gagal gabung kelas. 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Silakan coba lagi.","create-post-failed":"Gagal mengirim pesan. 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Pelajari aturan pemetaan satu-ke-satu dengan contoh visual.", authors: [{ name: "Nabil Akbarazzima Fatih" }], date: "2025-04-27", subject: "Fungsi Komposisi dan Fungsi Invers", }; ## Relasi Antar Himpunan Dalam matematika, **relasi** dari himpunan ke himpunan adalah suatu aturan yang menghubungkan anggota himpunan dengan anggota himpunan . Pemasangan ini bisa dalam bentuk apapun. **Contoh:** Relasi "kurang dari" antara dan menghasilkan pasangan . **Penjelasan:** Kita mencari semua pasangan dengan dan dimana . - Untuk , kita peroleh , , . Pasangan: . - Untuk , kita peroleh , . Pasangan: . - Untuk , kita peroleh . Pasangan: . Gabungan semua pasangan ini adalah . ## Fungsi Sebagai Relasi Khusus **Fungsi** (atau pemetaan) dari himpunan ke himpunan , ditulis , adalah relasi khusus yang memenuhi dua syarat: 1. **Setiap** elemen harus memiliki pasangan . 2. Setiap elemen memiliki **tepat satu** pasangan . 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B = \{1, 2, 3, 4\}

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(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)

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\{(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)\}

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f: A \to B

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f

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A

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\forall x \in A, \exists y \in B \text{ sehingga} (x, y) \in f

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(1, 2), (1, 3), (1, 4)

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(2, 3), (2, 4)

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\text{Jika } (x, y_1) \in f \text{ dan} (x, y_2) \in f, \text{ maka} y_1 = y_2

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y \\in B

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B = \{1, 2, 3, 4\}

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f: A \to B

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