Invertible Function | Inverse Function | One-one onto Function | Invertible Function Examples

DISCRETE STRUCTURES AND THEORY OF LOGIC
UNIT-2
MATHEMATICS-3 (MODULE-4)
SET THEORY, RELATIONS, FUNCTIONS AND NATURAL NUMBERS
DISCRETE MATHEMATICS
LECTURE CONTENT:
CLASSIFICATION OF FUNCTIONS
INVERTIBLE FUNCTION / INVERSE FUNCTION
TYPES OF FUNCTIONS
ONE-ONE FUNCTION / INJECTIVE FUNCTION
ONTO FUNCTION / SURJECTIVE FUNCTION
BIJECTION / BIJECTIVE FUNCTION
ONE-ONE ONTO FUNCTION
ONE-ONE ONTO FUNCTION EXAMPLES
Function in discrete mathematics examples, functions discrete mathematics playlist, one-one correspondence, relation and function, inverse function of f(x), inverse function theorem, one one onto function important questions, bijective mapping, bijective function question.
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By: Dr. Anuj Kumar
Assistant Professor (Mathematics)
Ph. D, Gold Medalist in M. Sc and B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.
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BY DR. ANUJ KUMAR SIR
BY ANUJ KUMAR SIR
@FEARLESS INNOCENT MATH
#mathematics3 #discretestructure #kcs303​

[@pratyushtripathi1728]

वाह गुरु बहुत सही 😂 सिस्टम फाड दीया

[@dr.anuj.fearlessinnocentmath]

Thanks dear❤❤

[@Brijeshkumar_14]

Thanks sir

[@saurabbarman9608]

मैंने इस वीडियो से सीखा है 😊❤

[@dr.anuj.fearlessinnocentmath]

Very nice 💕

[@RajatKumar-lx4eh]

Thanks

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@grunge1656]

Thankyou sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear❤❤❤

[@varishtyagi1469]

Sir continue videos upload kar do disctete mathmatics ki
Because i love your content

[@dr.anuj.fearlessinnocentmath]

Thank you dear, syllabus complete ker dunga within 1 month, mention not

[@insulatormemes4147]

Bahut sukriya sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear

[@insulatormemes4147]

@@dr.anuj.fearlessinnocentmath sir we want to math 4 one short revisions

[@dr.anuj.fearlessinnocentmath]

@@insulatormemes4147
Ok dear, kuch time do uske liye. Phle discrete ko thoda cover ker lu

[@atwalsikander833]

Sir your starting example ।।।।।।। Punjabi University patiala।।।।।।ne DM ke paper main pusha hoaa he same ❤❤❤❤❤

[@dr.anuj.fearlessinnocentmath]

Wao dear

[@varishtyagi1469]

Hello sir i need more videos of DSTL

[@dr.anuj.fearlessinnocentmath]

Yes dear karta hu
Do din se tabiyat thik nhi hai

[@enjoyable.day1M]

Sir agar important practice questions topic se related dal dete to bahut kripa ho jati
Thank you ❤❤❤❤

[@dr.anuj.fearlessinnocentmath]

Ok dear I will upload

[@vishalmishra6620]

sir aap kaunse college me padate ho

[@dr.anuj.fearlessinnocentmath]

ABESIT

[@abhayshukla7471]

21.45 me x1=x2 one nhi hoga sir because 1=-1??aur hoga sir to phir yeh onto bhi hoga

[@dr.anuj.fearlessinnocentmath]

Dear basic bhi samjha kro
Vha natural number ka set hai
Aapne -1 kase liya

[@GTA_Lover48]

Sir december ko aktu ke exam shuru hai ,sir please december se phele tak discret ka couse khatm kar dijiye . Hame final exam.me bahut help hogi

[@dr.anuj.fearlessinnocentmath]

Mention not

[@GTA_Lover48]

@@dr.anuj.fearlessinnocentmath ok sir , thanks for your hard working 😌👍

[@DeepakYadav-ou1fh]

In question 3 when we go though defination then they proof onto sir why

[@dr.anuj.fearlessinnocentmath]

Aapko jasa video me btaya asa ker lo dear verna confuse ho jaaoge

[@shubhamtechno5]

F(x)=y ke definition se bhi proof nhi hoga because 1 ka square 1 hai lekin 2 ka square 4 hoga matalab co domain main 2 element attached nhi karega balki vo 4 ko attach kar rha hai so not onto

[@priyeshpandey7128]

Sir in example number 3 : I am getting f(x) = y but why is that
I have done this
F(x) = y
Y = x²
x = √Y
put value of x in f(x) = x²
f(x) = (√y) ²(root cancelled by square)
f(x) = y
Hence f:N->N f(x) =x² is onto 😢😢

[@dr.anuj.fearlessinnocentmath]

Very nice dear
😃

[@PahadiChan05]

​@@dr.anuj.fearlessinnocentmathnice? Onto kese ho gya vo sir 😢

[@dr.anuj.fearlessinnocentmath]

@@PahadiChan05
On to nhi hoga
Natural number ke set hai vo

[@sumitkanth5349]

23:12 sir jee aapne onto nii h wo to proof krke dikhaya hi nii, or agr hum pehele jese aapne proof krwaya h wese kre to wo onto ho rha h ? Plzz help sir jee

[@dr.anuj.fearlessinnocentmath]

Figure se bataya hai dear

[@sumitkanth5349]

@@dr.anuj.fearlessinnocentmath paper m bhi figure bna du to ho jaega ky sir jee ?

[@dr.anuj.fearlessinnocentmath]

@@sumitkanth5349
Yes

[@sumitkanth5349]

@@dr.anuj.fearlessinnocentmath okii sir jee thanks

[@akhilesh_14_]

in que 3 why you didnot prove onto through definition
through definition function is coming onto????????

[@dr.anuj.fearlessinnocentmath]

Yes you can do dear

[@akhilesh_14_]

@@dr.anuj.fearlessinnocentmath thanks sir for instant reply but when we do through definition then it is coming onto why??

[@utkarshyadav3938]

Sir please provide these notes

[@dr.anuj.fearlessinnocentmath]

Dstl ke notes nhi hai dear

[@utkarshyadav3938]

@@dr.anuj.fearlessinnocentmath sir aap jho yhe padhte ho iske slide ke bat Kar rha hu☺️

[@laxman5395]

Thank you sir

[@dr.anuj.fearlessinnocentmath]

Welcome dear💖