Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • State with reason whether following functions have inverse h : {2, 3, 4, 5} → {7, 9, 11, 13} with h = {(2, 7), (3, 9), (4, 11), (5, 13)}

Q. 3 State with reason whether following functions have inverse 

(iii)   h : \{2, 3, 4, 5\}\rightarrow \{7, 9, 11, 13\} with
       h = \{(2, 7), (3, 9), (4, 11), (5, 13)\}

 

Answers (1)

best_answer

(iii)   h : \{2, 3, 4, 5\}\rightarrow \{7, 9, 11, 13\} with
       h = \{(2, 7), (3, 9), (4, 11), (5, 13)\}

From the definition, we can see the set \left \{ 2,3,4,5 \right \} have distant values under h.

\therefore h is one-one .

For every element y of set \left \{ 7,9,11,13 \right \},there exists an element x  in \left \{ 2,3,4,5 \right \} such that  h(x)=y

\therefore h is onto

Thus, h is one-one and onto so h has an inverse function.

Posted by

seema garhwal

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Central Sector Scheme of Scholarship 2025 applications open on scholarships.gov.in
anam-khan

CBSE Board 2025: Class 10th, 12th supplementary date sheet out; exams from July 15
anam-khan

CBSE issues final reminder to schools for supplementary exam LOC submission; submit by today without late fee

Latest Question