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Functions — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSFunctions1 Mark
MCQ
The domain of definition of the function $\text{f(x)}=\log|\text{x}|$ is:
  • A
    $\text{R}$
  • B
    $\big(-\infty,0\big)$
  • C
    $(0,\infty)$
  • ✓
    $\text{R}-\{0\}$
✓

Answer

Correct option: D.
$\text{R}-\{0\}$
$\text{f(x)}=\log|\text{x}|$
For f(x) to be defined,
$|\text{x}|>0,$ which is always true.
But $|\text{x}|\neq0$
$\Rightarrow\text{x}\neq0$
Thus, $\text{domain(f)}=\text{R}-\{0\}$

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