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Proof by mathematical induction

fx =3x-8 if ...

Question

$f (x) = {\begin{matrix} 3 x - 8 & if x \leq 5 2 k & if x > 5 \end{matrix}$ is continuous, find k

A

$\frac{2}{7}$

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B

$\frac{3}{7}$

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C

$\frac{4}{7}$

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D

$\frac{7}{2}$

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Solution

The correct option is D
$\frac{7}{2}$

$3 \times 5 - 8 = 2 k$

$S o k = \frac{7}{2}$

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