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uygulanır.","Fonksiyonların tersi hesaplanırken, fonksiyonun kuralı tersine çevrilir ve x yerine ters fonksiyonun kuralı yazılır."]},"beginTime":91,"endTime":280,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=91&ask_summarization=1"},{"index":2,"title":"Fonksiyon Bileşkesi Problemleri","list":{"type":"unordered","items":["Fonksiyonların tersi ile kendisi yan yana geldiğinde birim fonksiyon elde edilir.","Fonksiyonların bileşkesi ve tersi arasındaki ilişki, f(x) = y ise f⁻¹(y) = x şeklinde ifade edilir.","Fonksiyonların birebir ve örtendir olması, terslerinin varlığını sağlar."]},"beginTime":280,"endTime":539,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=280&ask_summarization=1"},{"index":3,"title":"Fonksiyon Bileşkesi ve Ters Fonksiyonlar","list":{"type":"unordered","items":["Bileşke fonksiyonlarda önce bileşke paranteze çevrilir ve sonra iç dış ilişkisi kullanılarak fonksiyonlar çözülür.","Fonksiyonun tersini bulmak için x yerine fonksiyonun tersi yazılır ve x yalnız bırakılır.","Bileşke fonksiyonlarda ters fonksiyonlar kullanılarak g(x) gibi bilinmeyenler bulunabilir."]},"beginTime":541,"endTime":643,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=541&ask_summarization=1"},{"index":4,"title":"Fonksiyon Problemleri Çözümü","list":{"type":"unordered","items":["f(x) ve f bileşke g verilmişse, g(x) bulmak için önce f bileşke g ifadesi paranteze çevrilir.","Fonksiyonların tersi alınarak g(x) gibi bilinmeyenler bulunabilir.","Bileşke fonksiyonlarda ters fonksiyonlar kullanılarak g(x) gibi bilinmeyenler bulunabilir."]},"beginTime":643,"endTime":785,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=643&ask_summarization=1"},{"index":5,"title":"Fonksiyon Tersleri ve Özellikleri","list":{"type":"unordered","items":["f ve g gerçek sayılarda tanımlı fonksiyonlar için f'in tersi bileşke g'nin tersi ve g bileşke f'in tersi aynı ifadeye eşittir.","Fonksiyonların tersi alınarak g(x) gibi bilinmeyenler bulunabilir.","Fonksiyonların tersi alınarak g(x) gibi bilinmeyenler bulunabilir."]},"beginTime":785,"endTime":1066,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=785&ask_summarization=1"},{"index":6,"title":"Özel Fonksiyon Kuralları","list":{"type":"unordered","items":["f(n) = (-1)^n × n şeklinde tanımlanan fonksiyonlarda, f(2n+1) = (-1)^(2n+1) × (2n+1) şeklinde kural bulunabilir.","Fonksiyonların tersi alınarak g(x) gibi bilinmeyenler bulunabilir.","Fonksiyonların tersi alınarak g(x) gibi bilinmeyenler bulunabilir."]},"beginTime":1066,"endTime":1299,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=1066&ask_summarization=1"},{"index":7,"title":"Birebir ve Örtendir Fonksiyonlar","list":{"type":"unordered","items":["f ile g birebir ve örtendir fonksiyonlar için tersleri vardır.","f bileşke g'nin tersi x = x/2/4 şeklinde verilmişse, f'in tersi kullanılarak g(6) değeri bulunabilir.","Fonksiyonların tersi alınarak g(x) gibi bilinmeyenler bulunabilir."]},"beginTime":1299,"endTime":1394,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=1299&ask_summarization=1"},{"index":8,"title":"Fonksiyonların Tersi","list":{"type":"unordered","items":["Fonksiyonun kuralı, işlemi ters çevirip işaret değiştirerek bulunur.","Bir fonksiyonun tersi kendisine eşitse, iki tane yan yana geldiğinde birbirini götürecek ve sonuç x olacak.","Fonksiyonun tersini bulmak için f(x) yerine y yazılır, x'i yalnız bırakılır, isimler değiştirilir ve f⁻¹(x) yazılır."]},"beginTime":1408,"endTime":1505,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=1408&ask_summarization=1"},{"index":9,"title":"Bileşke Fonksiyonlar ve Tersleri","list":{"type":"unordered","items":["Bileşke fonksiyonlarda, f(g(x)) şeklinde yazılan ifadede, f'in kuralı ortaya çıkar.","Fonksiyonun tersini bulmak için çaprazdaki sayılar yer değiştirip işaret değiştirir.","Bir fonksiyonun tersi kendisine eşitse, f⁻¹(f(x)) = x olur."]},"beginTime":1505,"endTime":1590,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=1505&ask_summarization=1"},{"index":10,"title":"Fonksiyon Problemleri","list":{"type":"unordered","items":["Bir fonksiyonun tersi, ters fonksiyonun tersi alınarak bulunabilir.","Fonksiyonun tersini bulmak için, f(x) = a/b şeklinde yazılan ifadede, a ve b'nin yer değiştirip işaret değiştirilmesi gerekir.","Fonksiyonun tersini bulmak için, f(x) = a/b şeklinde yazılan ifadede, a ve b'nin yer değiştirip işaret değiştirilmesi gerekir."]},"beginTime":1590,"endTime":1784,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=1590&ask_summarization=1"},{"index":11,"title":"Fonksiyonların Özellikleri","list":{"type":"unordered","items":["Bir fonksiyonun tersi kendisine eşitse, iki tane yan yana geldiğinde birbirini götürecek.","Birim fonksiyonun tersi kendisine eşittir.","f(x) = 1/x şeklindeki fonksiyonların tersi kendilerine eşittir."]},"beginTime":1784,"endTime":1909,"href":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=1784&ask_summarization=1"}],"linkTemplate":"/video/preview/10925149961644957945?parent-reqid=1774255653098648-3441048408882175592-balancer-l7leveler-kubr-yp-vla-56-BAL&text=YAF17&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"EİS 10 Mat DAF, 17.Föy (Fonksiyon 9) Ödev Testleri 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