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axwe7

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Don't quite understand what to do here.

Cheers,
Axwe7.
 

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anomalousdecay

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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

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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)
 
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