JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

If a function

f

, is not identically zero, satisfies

\mathrm{f}(\mathrm{x}+1)=-\mathrm{f}(\mathrm{x}+5), \forall \mathrm{x} \in \mathrm{R}

, then the period of

\mathrm{f}(\mathrm{x})

is :

View answer and explanation

Correct option: C

Option C (8) is correct because it represents the period of the function f(x), derived from the given functional equation f(x+1) = -f(x+5).

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