For , define the function by f_k(i)= ((i+k) 4 )+1. Identify all values of for which…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

For

k\in\{0,1,2,3\}

, define the function

f_k:\{1,2,3,4\}\to\{1,2,3,4\}

by

f_k(i)=\bigl((i+k)\bmod 4\bigr)+1.

Identify all values of

k

for which

f_k

is bijective.

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