4. Iffis a function from A to B, and S and T two subsets of A. show thi a) fiSUT=f(S)uf(T) b) f(SnT)Sr(s)nf(T) 5. We consider the function f from R to Z, defined by fixx]. Is fone-to-one ? Is it onto ?
4. Iffis a function from A to B, and S and T two subsets of A. show thi a) fiSUT=f(S)uf(T) b) f(SnT)Sr(s)nf(T) 5. We consider the function f from R to Z, defined by fixx]. Is fone-to-one ? Is it onto ?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Solve 4&5please
![3. Iff and g are two lincar functions: f(x)- axtb and g(x) - Cx+d, then what are the
conditions on a,b,c and d so that fg=g+f
4. If f is a function from A to B, and S and T two subsets of A, show thi
a) fiSuT =r(S)Ur(T)
b) f(SnT)Cf(S)nf(T)
5. We consider the function f from R to Z, defined by fix=x]. Is f one-to-cee ? Is
it onto ?
6. We consider the function f from R to Z, defined by fix=xl-1xJ. What is the
range of f?ge](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9308628f-d011-4b9b-9fa9-d5665347683d%2F077d6506-4415-4a27-abb2-3269c4378b29%2Fti24xa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Iff and g are two lincar functions: f(x)- axtb and g(x) - Cx+d, then what are the
conditions on a,b,c and d so that fg=g+f
4. If f is a function from A to B, and S and T two subsets of A, show thi
a) fiSuT =r(S)Ur(T)
b) f(SnT)Cf(S)nf(T)
5. We consider the function f from R to Z, defined by fix=x]. Is f one-to-cee ? Is
it onto ?
6. We consider the function f from R to Z, defined by fix=xl-1xJ. What is the
range of f?ge
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