Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions2 Marks
MCQ
Range of the function $f(x)=\frac{1}{3 x+2}$ is
A
R
✓
$R -\{0\}$
C
$(0, \infty)$
D
$R-\left\{-\frac{2}{3}\right\}$
✓
Answer
Correct option: B.
$R -\{0\}$
(B) $\operatorname{Dom}(f)=R-\left\{-\frac{2}{3}\right\}$ For Range(f), let $y= f (x)=\frac{1}{3 x+2}$ $\therefore \quad 3 x+2=\frac{1}{y} \Rightarrow x=\frac{1}{3}\left(\frac{1}{y}-2\right)$ $x$ is real if $y \neq 0$. Hence, $R _{ f }= R -\{0\}$
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