A = {9, 10, 11, 12, 13} and f :AN, fW= The highest prime factor of n, find the of f 9 range
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Answer:
range={3,5,11,13}
Step-by-step explanation:
A={9,10,11,12,13}
f:A→N is defined as
f(n)= The highest prime factor of n
Prime factor of 9=3
Prime factors of 10=2,5
Prime factors of 11=11
Prime factors of 12=2,3
Prime factors of 13=13
∴f(9)= The highest prime factor of 9=3
f(10)= The highest prime factor of 10=5
f(11)= The highest prime factor of 11=11
f(12)= The highest prime factor of 12=3
f(13)= The highest prime factor of 13=13
Thus range of f is the set of all f(n) where n∈A
is ={3,5,11,13}
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