Logo
Home Study Material Contact Search
AI Chat FREE
  1. computer science
  2. programming
  3. 5. determine whether or not the following function

5. Determine whether or not the following functions from real numbers to real numbers are bijections....

90.2K

Verified Solution

Question

Programming

5. Determine whether or not the following functions from realnumbers to real numbers are bijections. If they are bijections,then find the inverse. If they are not bijections, then explain whynot.
(a) f(x) = [2x]
(b) f(x) = −7x
(c) f(x) = 7x 3 – 5
(d) f(x) = x 2 − 5

Answer & Explanation Solved by verified expert
4.1 Ratings (611 Votes)
For a function to be a bijection it should beoneone as well as ontoFor finding out the inverse we first find x in terms of y andthe replace y with x and x with ya meansgreatest integer functionSo here for many values    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Filter feeding seems to be a very common strategy in aquatic animals. Describe how filter feeding...

Biology
Q

2. Let D be a relation on the natural numbers N de?ned by D = {(m,n)...

Advance Math
Q

Is the following statement true Explain why or why not Provide an example to support...

Basic Math
Q

A sample of 1100 computer chips reve imed that

Statistics
Q

A report prepared by a government official comparing actual costs to budgeted costs...

Accounting
Q

ABC Company Ltd uses the periodic inventory system. At 1 April 2016 the...

Accounting
Q

help asap please ...

Accounting
Q

RBI Corporation Case - Social Media Risks and Rewards & Balanced Scorecard Metrix (focus chs3,7,11,15)...

Accounting
Q

Doris purchased a cash value policy with a face amount of $500,000, naming her executor...

Accounting
Q

A truck costs $316,000 and is expected to be driven 116,000 miles during its five-year...

Accounting
Q

Below are data from measurements of burst strength of a thin film. ...

Accounting
Q

Exercise 22-3 Teal Co. decides at the beginning of 2017 to adopt the FIFO method...

Accounting