Maff Q (1 Viewer)

axwe7

Member
Joined
Aug 4, 2015
Messages
183
Gender
Undisclosed
HSC
N/A
Don't quite understand what to do here.

Cheers,
Axwe7.
 

Attachments

anomalousdecay

Premium Member
Joined
Jan 26, 2013
Messages
5,769
Gender
Male
HSC
2013
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
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:

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top