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anonymous
 one year ago
Construct examples
a. show that if f and g are one to one, then f+g might not be onetoone.
b. show that if f and g are onto, then f+g need not be onto.
c. give an example of functions f and g that are one to one and onto, but f times g is not one to one and not onto.
anonymous
 one year ago
Construct examples a. show that if f and g are one to one, then f+g might not be onetoone. b. show that if f and g are onto, then f+g need not be onto. c. give an example of functions f and g that are one to one and onto, but f times g is not one to one and not onto.

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zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0how many times are you going to ask this question?

perl
 one year ago
Best ResponseYou've already chosen the best response.1part a) hint: pick a one to one function for f, it can be any. then for g pick its negative. if you add them what do you get?

perl
 one year ago
Best ResponseYou've already chosen the best response.1For example f(x) = e^x + 1 g(x) = e^x both functions are one to one. What happens when you add the functions

perl
 one year ago
Best ResponseYou've already chosen the best response.1Actually a simpler function is f(x) = x g(x) = x f and g are both one to one and onto. However f(x) + g(x) = 0 which is a constant function. The constant function is neither one to one nor onto.

perl
 one year ago
Best ResponseYou've already chosen the best response.1f times g is neither one to one nor onto as well

zzr0ck3r
 one year ago
Best ResponseYou've already chosen the best response.0@perl the user keeps posting the question under many different names, and refuses to take part
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