$f (x) = 2 x + 1$
$g (x) = 3 x - 2$
The two equations above define the functions $f$ and $g$ . If $f (c) = g (c)$ for some number $c$ , find the value of $c$ .

3

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Solution

The correct option is D $3$
Given
$f (x) = 2 x + 1$
$g (x) = 3 x - 1$
If $f (c) = g (c)$ for some number of $c$ , then equation will be
$\Rightarrow 2 c + 1 = 3 c - 2$
$\Rightarrow 2 c - 3 c = - 2 - 1$
$\Rightarrow - c = - 3$
$\Rightarrow c = 3$

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