Indicate whether the two functions are equal. If the two functions are not equal, then give an element of the domain on which the two functions have different values. (a) f:Z Z, where f(r) = x². g: Z Z, where g(r) = |r|². %3D %3D (b) f:ZxZ Z, where f(r,y) - |r+ yl. g: ZxZ Z, where g(r, y) = |x| + \y]-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Discrete Mathematics I need help with this two part problem. Part A and Part B
ment.tex - TeXstudio
part
label
tiny
>>
2 of 10
Indicate whether the two functions are equal. If the two functions are not equal,
then give an element of the domain on which the two functions have different values.
(a)
f:Z Z, where f(r) = r².
g :Z Z, where g(r) = |r|².
(Ь)
f:Z xZ Z, where f(r, y)-|r+ yl.
g: Z x Z Z, where g(r, y) = |r|+ [y|-
Pages 2 to 3 of 10
100% .
LT
en US.
UTF-8
Ready Automatic
日
日
Transcribed Image Text:ment.tex - TeXstudio part label tiny >> 2 of 10 Indicate whether the two functions are equal. If the two functions are not equal, then give an element of the domain on which the two functions have different values. (a) f:Z Z, where f(r) = r². g :Z Z, where g(r) = |r|². (Ь) f:Z xZ Z, where f(r, y)-|r+ yl. g: Z x Z Z, where g(r, y) = |r|+ [y|- Pages 2 to 3 of 10 100% . LT en US. UTF-8 Ready Automatic 日 日
Expert Solution
Step 1

We have, f: where, fx=x2g: where, gx=x2when x0, fx =x2 and gx=x2=x2when x<0, fx=-x2=x2 and gx=-x2=x2=x2Thus, the two functions have same values.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,