Let A=\{1,2,3, . . ., 10\} and f: A \to A be defined as f(k)=\{\table k+1, , \text{ if } k \text{ is odd } ; k, , \text{ if } k \text{ is even }. Then, the number of possible functions g: A \to A, such that g \circ f=f is [26 Feb 2021 Shift 2]

Functions Part 1

Section: Mathematics

Question : 46 of 100

Marks: +1, -0

Let A={1,2,3,...,10} and f:A→A be defined as f(k)={

k+1	‌	‌ if ‌k‌ is odd ‌
k	‌	‌ if ‌k‌ is even ‌.

Then, the number of possible functions g:A→A, such that g∘f=f is

[26 Feb 2021 Shift 2]

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x+1	‌	x‌ is odd. ‌
x	‌	x‌ is even. ‌.