If $f (x) = 3 x - 7$ and $f (c) + f (2 c) = 4$ , then calculate $c$ .

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Solution

The correct option is B $2$
Given, $f (x) = 3 x - 7$ and $f (c) + f (2 c) = 4$
$∴ f (c) = 3 c - 7$
$∴ f (2 c) = 3.2 c - 7 = 6 c - 7$
Given,
$\Rightarrow f (c) + f (2 c) = 4$
$\Rightarrow 3 c - 7 + (6 c - 7) = 4$
$\Rightarrow 3 c - 7 + 6 c - 7 = 4$
$\Rightarrow 9 c = 18$
$\Rightarrow c = 2$

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