Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The period of the function $f(x) =e^{\{4\{x\}+3\}}$, where {·} denotes the fractional part function is

Options:

$\frac{1}{12}$

1

$\frac{1}{4}$

4

Correct Answer:

$\frac{1}{4}$

Explanation:

$f(x) =e^{\{4\{x\}+3\}}=e^{\{4\{x\}\}}$

Clearly $f(\frac{1}{4}+x)=f(x)$