Cartesian Product and Finite Sets and Algebra of Composition
Not what you're looking for?
I'd like to know the deductive techniques to prove each. A short and correct proof for each is all that is required.
OR please provide some help on how to solve them.
Please see the attached file for the fully formatted problems.
Purchase this Solution
Solution Summary
Cartesian Product and Finite Sets and Algebra of Compositions of Functions (10 Problems) are investigated. The solution is detailed and well presented.
Solution Preview
Please see the attached file for the complete solution.
Thanks for using BrainMass.
Problem #2
Proof:
(a) When , we have by definition. Assume the statement is true for , that is for all , then for , if , then by definition, we have
This implies that and . By the assumption,
for all ,
Thus for all . So the ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Know Your Linear Equations
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.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.