JEE MATHEMATICS MCQ: FUNCTIONS

1 Hard

1 of 1

Analyzing +4 | -1

Let

f: \mathbb{R} \rightarrow \mathbb{R}-\{3\}

be a function such that for some

p>0

f(x+p)=\frac{f(x)-5}{f(x)-3}

for all

x \in \mathbb{R}

. Then, period of

f

View answer and explanation

Correct option: C

4 p

Option C (

4p

) is correct because it is the smallest value for which f(x + 4p) = f(x), indicating the function repeats its values after this interval.

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