Solution to Let X = {a, b, c} defined by f : X (X such that f … - Sikademy
Author Image

Archangel Macsika

Let X = {a, b, c} defined by f : X (X such that f = {(a, b), (b, a), (c,c)}. Find the values of f^1, f^2 and f^4.

The Answer to the Question
is below this banner.

Can't find a solution anywhere?

NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?

Get the Answers Now!

You will get a detailed answer to your question or assignment in the shortest time possible.

Here's the Solution to this Question

Solution:

f = {(a, b), (b, a), (c,c)}

f^{-1} =\{(b,a), ( a,b), (c,c)\}=f

We found that f^{-1}=f for given X.

Then, \\f^2=f(f)=f(f^{-1})=X

And \\f^4=[f(f^{-1})]^2=X^2

Related Answers

Was this answer helpful?

Join our Community to stay in the know

Get updates for similar and other helpful Answers

Question ID: mtid-5-stid-8-sqid-1532-qpid-1270