Purchase Solution

# Consider an arbitrary mapping f : X -->Y. Suppose that f is a one-to-one onto. Prove the main property of the second set mapping: f^(-1)(Y) = X

Not what you're looking for?

Topology
Sets and Functions (XXVIII)
Functions

Consider an arbitrary mapping f : X -->Y. Suppose that f is a one-to-one onto.
Prove the main property of the second set mapping:

f^(-1)(Y) = X

See the attached file.

##### Solution Summary

This solution is comprised of a detailed explanation of the main property of the second set mapping.
It contains step-by-step explanation of the following problem:
Consider an arbitrary mapping f : X -->Y. Suppose that f is a one-to-one onto.
Prove the main property of the second set mapping:

f^(-1)(Y) = X

Notes are also given at end.

##### Solution Preview

Topology
Sets and Functions (XXVIII)
...

Solution provided by:
###### Education
• BSc, Manipur University
• MSc, Kanpur University
###### Recent Feedback
• "Thanks this really helped."
• "Sorry for the delay, I was unable to be online during the holiday. The post is very helpful."
• "Very nice thank you"
• "Thank you a million!!! Would happen to understand any of the other tensor problems i have posted???"
• "You are awesome. Thank you"

##### Free BrainMass Quizzes

This quiz test you on how well you are familiar with solving quadratic inequalities.

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Probability Quiz

Some questions on probability