Don't quite understand what to do here. Cheers, Axwe7.
axwe7 Member Joined Aug 4, 2015 Messages 183 Gender Undisclosed HSC N/A Dec 24, 2015 #1 Don't quite understand what to do here. Cheers, Axwe7. Attachments Question.PNG 14.7 KB Views: 49
anomalousdecay Premium Member Joined Jan 26, 2013 Messages 5,766 Gender Male HSC 2013 Dec 24, 2015 #2 part b f(a) = 2a f(b) = 2b f(a) + f(b) = 2a + 2b f(a+b) = 2 (a + b) = 2a + 2b So, clearly for all a and b, f(a) + f(b) = f(a+b) = 2a + 2b part c f(a) = a + 1 f(b) = b + 1 f(a) + f(b) = a + b + 2 f(a+b) = (a + b) + 1 = a + b + 1 clearly, we can see that for all a and b. Try out the other exercises for yourself and see how you go.
part b f(a) = 2a f(b) = 2b f(a) + f(b) = 2a + 2b f(a+b) = 2 (a + b) = 2a + 2b So, clearly for all a and b, f(a) + f(b) = f(a+b) = 2a + 2b part c f(a) = a + 1 f(b) = b + 1 f(a) + f(b) = a + b + 2 f(a+b) = (a + b) + 1 = a + b + 1 clearly, we can see that for all a and b. Try out the other exercises for yourself and see how you go.
Green Yoda Hi Φ Joined Mar 28, 2015 Messages 2,859 Gender Male HSC 2017 Dec 24, 2015 #3 Basically just sub in a and b into x where necessary and see if f(a) + f(b) = f(a+b). E.g Part a: f(a)=a f(b)=b f(a)+f(b)= a+b ---------------------------- f(a+b) = a+b ---------------------------- ∴ f(a)+f(b)=f(a+b) Last edited: Dec 24, 2015
Basically just sub in a and b into x where necessary and see if f(a) + f(b) = f(a+b). E.g Part a: f(a)=a f(b)=b f(a)+f(b)= a+b ---------------------------- f(a+b) = a+b ---------------------------- ∴ f(a)+f(b)=f(a+b)
Green Yoda Hi Φ Joined Mar 28, 2015 Messages 2,859 Gender Male HSC 2017 Dec 24, 2015 #4 Btw is that cambridge 3u or year 10?
axwe7 Member Joined Aug 4, 2015 Messages 183 Gender Undisclosed HSC N/A Dec 31, 2015 #5 Rathin said: Btw is that cambridge 3u or year 10? Click to expand... Yo man, haven't been on much, sorry about that, but to answer your question, it is Cambridge 3U.
Rathin said: Btw is that cambridge 3u or year 10? Click to expand... Yo man, haven't been on much, sorry about that, but to answer your question, it is Cambridge 3U.