Question: Let f: X Y be a function and A, BY be subsets of the codomain. a. Is f- (AUB) = f-(A) u f-(B)? Always,

Let f: X Y be a function and A, BY be subsets

Let f: X Y be a function and A, BY be subsets of the codomain. a. Is f- (AUB) = f-(A) u f-(B)? Always, sometimes, or never? Explain. b. Is f-(An B) = f(A) n f(B)? Always, sometimes, or never? Explain.

Step by Step Solution

★★★★★

3.34 Rating (145 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Always The preimage of a set is defined as the set of a... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Accounting Questions!

Let X and Y be compact subsets of a finite-dimensional normed linear space, and let f be a continuous functional on X Ã Y. Then if and only if there exists a point (x*, y*) X Ã Y such...

Let X and Y be two simple r.v.s such f X = f y = ( or f X = f Y = -(. Then show that f (X + Y) exists and f(X + Y) = f X + f Y(= ( or -().

Let X be a linear space. Two affine subsets S and T are parallel if one is a translate of the other, that is, S = T + x for some x X Show that the relation S is parallel to T is an equivalence...

[15] Let (t, x) be a computable function and limt (t, x) = C(x), for all x. For each t define t(x) = (t, x) for all x. Then C is the limit of the sequence of functions 1, 2,... . Show that for each...

3.9. Let F(t) be a cumulative distribution function and B(u) a Brownian bridge. (a) Determine the covariance function for B(F(t)). (b) Use the central limit principle for random functions to argue...

Section 8.3 Reading Assignment: Trigonometric Integrals Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very...

Clearly answer all questions. Create any correcting entries to adjust inventory to its proper amount at December 31, 2014. Assume the books have not been closed. 1. Craig uses the periodic method of...

We would like to calculate the integral 0 log(1 + x) exp(x) dx. a. Simulate 10,000 exponential random variables with parameter 1 and use these to estimate the integral. Also, find the simulation...

In this exercise, we consider some policy issues related to public support for schoolsand the coalitions between income groups that might form to determine the political equilibrium. A: Throughout,...

Let a R and let f and g be real functions defined at all points x in some open interval containing a except possibly at x = a. Decide which of the following statements are true and which are false....

A car rental company is offering a contract to pay by - the - mile. The plan charges a flat rate of $ 7 5 . 2 each week. Every mile traveled during the week costs $ 1 . 1 0 each. ( A ) How much would...

a. What manufacturing data is used by the managerial accounting module within ERP? b. How is this information used to control costs, to maximize productivity, and to streamline operations? c. How...

What is Big Data? What are the 3V's of Big Data? What tasks are usually performed in a database marketing campaign? Research three Business Analytics tools. Name and describe them and the features of...

(a) Explain briefly any five Methods of Costing. (5) (b) Pleasant Cold Limited manufactured and sold 1,000 refrigerators in the year ending 31st March, 2012. The summarised Trading and Profit and...

Suppose that str is composed of 20 characters. Draw the stack frame for bof. Mark the direction in which the stack grows. In which direction does strcpy write? How does the program know where to...

Determine the following inverse z-transforms using the partial fraction expansion method. 1. X1(2)=(1-1-42-2 +42-3)/(1-+- 2 3). The sequence is rightsided. 2. X2(2)=(1+1-42-2 +42-3)/(1-+---). The...

Phyton programing Import a module that you can randomize some numbers in a range. Import another module so that you can round up a float number. Create myRandom(x) function such that it will generate...

A business had revenues of $280,000 and operating expenses of $315,000. Did the business (a) Incur a net loss (b) Realize net income?

Prove that converges for every x (0, 2Ï) and every ak 0. What happens when x = 0? o0 cost

Defines ak recursively by a1 = 1 and Prove that k=1 ak converges absolutely. a+sin- ak-1 k>1

For each of the following functions, compute fx and determine where it is continuous. a) b) fr, y)- x, y) (0, 0) 2-y2 0. (x, y) = (0,0)

Watch television for an hour, paying close attention to the commercials. Alternatively, go through an advertisementheavy magazine such as Vogue. What are the values being sold to the viewer or...

Did members of your nation or any of the other nations treat each other as mad, bad, sick, or stupid, and say anything like We cannot reason with people like that!?

What is the place (if any) of faith (of any kind) in politics? What are the advantages of a faithbased government? The disadvantages?