f f x f x 2x 3 if f 0 1 and Find f 2012 a 2013 b 4027 c

2013
f(0)=1
f(1)=2
f(2)=3......
f(2012)=2013
11 years agoHelpfull: Yes(13) No(0)
given f(0)=1
f(f(x))+f(x)=2x+3
=>f(f(0))+f(0)=(2*0)+3.............for x=0
=>f(1)+1=3
=>f(1)=2
similarly, f(f(1))+f(1)=(2*1)+3........ for x=1
=>f(2)+2=5
=>f(2)=3
f(f(2))+f(2)=(2*2)+3........ for x=2
f(3)+3=7
=>f(3)=4
therefore 2013 will be the answer
11 years agoHelpfull: Yes(6) No(0)
put x=0, we get f(1)=2, x=1 we get f(2)=3,..........so on
so for f(2012), we will get 2013 as answer
11 years agoHelpfull: Yes(2) No(0)
by solving we get
f(1)=2
f(2)=3
f(3)=4 and so on
so f(2012)=2013
11 years agoHelpfull: Yes(2) No(0)
F(0)=1
F(1)=2
Therefore F(2012)=2013
11 years agoHelpfull: Yes(1) No(0)
ans:2013

f(1)=2
f(2)=3
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.f(2012)=2013
11 years agoHelpfull: Yes(1) No(0)
2013 is the correct answer !!!
11 years agoHelpfull: Yes(0) No(0)
f(f(0))+f(0)=2(0)+3, since f(0)=1
f(1)+1=3
f(1)=2
f(f(1)+f(1)=2*1+3
=5
f(2)+2=5
f(2)=3
similarly follow this pattern.....
At f(2012)=2013
11 years agoHelpfull: Yes(0) No(0)

f(f(x))+f(x)=2x+3 if f(0)=1 and Find f(2012)?
a)2013
b)4027
c)2013
d)None of these