Discussion

Explanation:

Let us calculate values of f(x) and g(x) for x = 1 and -1. 

f(1) = |1 - 3| + |1 - 4| + |1 - 5| 
        = 2 + 3 + 4 = 9

∴ g(1) = 92 = 81

f(-1) = |-1 - 3| + |-1 - 4| + |-1 - 5| 
        = 4 + 5 + 6 = 15

∴ g(1) = 152 = 225

Since f(1) ≠ ± f(-1)

⇒ f(x) is neither even nor odd function

Also. Since g(1) ≠ ± g(-1)

⇒ g(x) is neither even nor odd function

Hence, option (d).

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