Timeline for Show that a function is $f$ bijective if $f(f(f(2x+3)))=x$ for all real $x$
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 19, 2023 at 20:04 | answer | added | Martin Westin | timeline score: 2 | |
| Nov 19, 2023 at 19:22 | answer | added | Prem | timeline score: 3 | |
| Nov 19, 2023 at 19:13 | history | edited | Prem | CC BY-SA 4.0 |
added 19 characters in body; edited tags
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| Nov 19, 2023 at 18:55 | comment | added | Robert Shore | Are you allowed to assume that such an $f$ exists, or do you need to prove that as well? | |
| Nov 19, 2023 at 18:52 | comment | added | Geoffrey Trang | The given equation immediately implies that $f$ is surjective. It remains to show that $f$ is also injective. | |
| Nov 19, 2023 at 18:48 | comment | added | Sambo | Hint: can you show that $f \circ f \circ f$ is bijective? | |
| Nov 19, 2023 at 18:45 | history | asked | Trifon | CC BY-SA 4.0 |