Question

if f(x) = { 2+x , x>=0
2-x , x<0

Find f(f(x)) ?

Answer 1

@helder_edwin @hartnn @sami-21 @experimentX

Answer 2

f(x) = |x|+2
f(f(x)) = ||x|+2| + |x| + 2

Answer 3

i agree
\[ f(x)=|x|+2 \]
but
\[ \large f(f(x))=f(|x|+2)=||x|+2|+2 \]

Answer 4

i did nt get u guys....

Answer 5

f(f(x)) = fof (x)

Answer 6

yes. that's what i did.

Answer 7

Can u expl these Stuffs

Answer 8

first
\[ \large f(x)=|x|+2 \]
do u agree?

Answer 9

well anyway.
the x in f(x) is the argument of the function. the letter itself has no meaning, but when u replace it with something u have to do the same in the RHS.