CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let A={1,2,3,4}. Let f:AA and g:AA, defined by f={(1,4),(2,1),(3,3),(4,2)} and g={(1,3),(2,1),(3,2),(4,4)}. Find f o f.

Open in App
Solution

We know that domain (fof)=domain(f)=(1,2,3,4)

By substituting the values

(fof)(1)=f(f(1))=f(4)=2

(fof)(2)=f(f(2))=f(1)=4

(fof)(3)=f(f(3))=f(3)=4

(fof)(4)=f(f(4))=f(2)=1

Therefore, fof=((1,2),(2,4),(3,3),(4,1))


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Cartesian Product
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon