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Let f: R to R be a function satisfying ...

Let `f: R to R ` be a function satisfying ` f(2-x) = f(2+x) and f(20 -x) = f(x) AA x in R . `For this functions f. answer the following
If f(0) =5 then the minimum possible number of values of x satisfying f(x)= 5 for `x in [0,170] ` is

A

fundamental period of `f(x)` is 1

B

fundamental period of `f(x)` may be 1

C

period of `f(x)` cannot be 1

D

fundamental period of `f(x)` is 8

Text Solution

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The correct Answer is:
C
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