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Let f (x)=|x-2|+|x - 3|+|x-4| and g(x) =...

Let `f (x)=|x-2|+|x - 3|+|x-4|` and `g(x) = f(x+1)`. Then 1. `g(x)` is an even function 2. `g(x)` is an odd function 3. `g(x)` is neither even nor odd 4. `g(x)` is periodic

A

g(x) is an even function

B

g(x) is an odd function

C

g(x) is neither even nor odd

D

g(x) is periodic

Text Solution

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The correct Answer is:
C
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