+0  
 
0
175
1
avatar

Let f be a function such that f(x+y)=x+f(y) for any two real numbers x and y. If f(0)=2, then what is f(2012)?

 Jul 17, 2018

Best Answer 

 #1
avatar+27480 
+1

Let x = -2012 and y = 2012. Then:

 

f(-2012 + 2012) = -2012 + f(2012)

 

f(0) = -2012 + f(2012)

 

2 = -2012 + f(2012)

 

f(2012) = 2014

 Jul 17, 2018
 #1
avatar+27480 
+1
Best Answer

Let x = -2012 and y = 2012. Then:

 

f(-2012 + 2012) = -2012 + f(2012)

 

f(0) = -2012 + f(2012)

 

2 = -2012 + f(2012)

 

f(2012) = 2014

Alan Jul 17, 2018

7 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.