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
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Chapter2: Second-order Linear Odes
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Discrete Mathematics I need help with this two part problem. Part A and Part B
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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|-
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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.

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