Domain of function f(x) = log|5{x} - 2x| is x ∈ R - A , then n(A) is (where {.} denotes fract

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1.Relation and Function

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Domain of function $f(x) = log|5{x} - 2x|$ is $x \in R - A$, then $n(A)$ is (where $\{.\}$ denotes fractional part function)

A

$3$

B

$2$

C

$1$

D

$0$

Solution

$5\{ x\} – 2x = 0\, \Rightarrow \{ x\} = \frac{{2x}}{5}\,;\,[x] = \frac{{3x}}{5}\,\,\,0 \le \frac{{2x}}{5} \le 1 \Rightarrow 0 \le x \le \frac{5}{2}$

Standard 12

Mathematics

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