Assuming iterations are recursively applied on the output, the first 3 iterations of the considered function is 6, 18 and 54
What are composite functions?
Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.
For the recursive iteration case, in which the each next iteration is appliance of the same considered function over the output obtained in the previous result, the composition is of same function.
For the considered case, we have:
- g(x) = 3x
- Initial value = 2
[tex]x = 2\\g(x) = g(2) = 3 \times 2 = 6[/tex]
using first iteration's output 6 as input for second iteration,
[tex]x = 6\\g(x) = g(6) = 3 \times 6 = 18[/tex]
using second iteration's output 18 as input for third iteration,
[tex]x = 18\\g(x) = g(18) = 3 \times 18 = 54[/tex]
Thus, assuming iterations are recursively applied on the output, the first 3 iterations of the considered function is 6, 18 and 54
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