If f(x)=2|x-2|-3|x-3| then f(x) equals to, for 2 < x< 3. - Vidyadip

MCQ

If $f(x)=2|x-2|-3|x-3|$ then $f(x)$ equals to, for 2 $< x< 3$.

A
$5-x$
B
$x-5$
✓
$5 x-13$
D
$5+x$.

✓

Answer

Correct option: C.

$5 x-13$

(C) $
\begin{aligned}
f(x) & =2|x-2|-3|x-3| \\
& =2\{x-2\}-3\{-(x-3)\} \\
& =2 x-4+3 x-9=5 x-13
\end{aligned}
$

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