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

1 Answer
Oct 20, 2017

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:)