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)

(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.

Preparation Products

Knockout NEET May 2021 (One Month)

An exhaustive E-learning program for the complete preparation of NEET..

₹ 14000/- ₹ 6999/-
Buy Now
Foundation 2021 Class 10th Maths

Master Maths with "Foundation course for class 10th" -AI Enabled Personalized Coaching -200+ Video lectures -Chapter-wise tests.

₹ 350/- ₹ 112/-
Buy Now
Knockout JEE Main April 2021 (One Month)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 14000/- ₹ 6999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions