Question

Fie functia f:R->R, f(×)=2x+1. Sa se calculeze f○f, f○f○f,..., f○f○f○...○f de n ori.

○-compus ​

Answer 1

f(x) = 2x+1

f o f = 2(2x+1) +1 = 4x + 3

f o f o f = 2(4x+3)+1 = 8x + 7

f o f o f o f = 2(8x+7)+1 = 16x + 15

.....

f o f o f o ... o f = 2ⁿx + 2ⁿ - 1