Deepak Scored 45->99%ile with Bounce Back Crack Course. You can do it too!

Solve this

Question:

Let $A=\{1,2,3,4\}$ and $f=\{(1,4),(2,1)(3,3),(4,2)\} .$ Write down (f of).

Solution:

To find: $f$ o $f$

Formula used: $f$ o $f=f(f(x))$

Given: (i) $f=\{(1,4),(2,1)(3,3),(4,2)\}$

We have,

$f \circ f(1)=f(f(1))=f(4)=2$

$f \circ f(2)=f(f(2))=f(1)=4$

$f$ of $(3)=f(f(3))=f(3)=3$

$f \circ f(4)=f(f(4))=f(2)=1$

Ans) $f$ of $f=\{(1,2),(2,4),(3,3),(4,1)\}$

 

Leave a comment

None
Free Study Material