If #f(x) = 2x+1#, then what is #f(f(f(x)))#?

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Answer 1 · 2017-10-20T09:59:38

Given #rarr#

#color(red)(f(x)=2x+1)#..........(1).

So,

#f(f(x))#

#=f(2x+1)#

#=2(2x+1)+1#..........From (1).

#:.color(red)(f(f(x))=4x+3)#...........(2).

Now,

#f(f(f(x)))#

#=f(4x+3)#..........From (2).

#=2(4x+3)+1#..........From (1).

#=8x+7#.

#color(red)(f(f(f(x)))=8x+7)#

Therefore, #color(red)(f(f(f(x)))=8x+7)#. (Answer).

Hope it Helps:)