Question

Asked Jan 26, 2020

1 views

Let Y = {n^{2}: n ∈ N} ⊂ N. Consider f : N → Y as f(n) = n^{2} Show that f is invertible. Find the inverse of f.

Step 1

Given, Let Y = {n^{2}: n ∈ N} ⊂ N. Consider f : N → Y as f(n) = n^{2}

Step 2

Now

Step 3

This gives a fu...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Let A = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B. S...

A: givenA = {1, 2, 3}, B = {4, 5, 6, 7} and let f = {(1, 4), (2, 5), (3, 6)} be a functionfrom A to B

Q: If a matrix has 8 elements, what are the possible orders it can have?

A: If a matrix has 8 element, so:

Q: is 7+2(3-2) equal to 17? if not then why.

A: Click to see the answer

Q: TravelEz sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro)....

A: TravelEz sells 1.40 dollars for 1 euro. At the end of the trip, Sophie exchanged 40 euros to dollars...

Q: If the measure of ZDBE is 40° and angles EBC and ABD are congruent, what is MZEBC? Do 40° MZABC= 150...

A: Given that the measure of angle DBE is 40 degree and also the angles EBC and ABD are equal. It is gi...

Q: A man has 15 coins in his pockets. These coins are dimes and quarters that add up 2.4 dollars. How m...

A: Given:A man has 15 coins in his pockets that add up 2.4 dollars.Let x be number of dimes and y be nu...

Q: The light intensity, I , of a light bulb varies inversely as the square of the distance from the bul...

A: Given

Q: Luis motorboat took 3 hours to make trip downstream on a river flowing at 5mph.The current trip agai...

A: Find the speed of boat. (i.e.) x.At downstream:

Q: Ten years ago the ratio between the ages of Mohan and Suman was 3:5. 11 years hence it will be 11:16...

A: Let the present age of Mohan be ‘x’.Let the present age of Suman be ‘y’.