If $f (x) = 5 x + 3$ and $g (x) = x^{2} - 1$ , then $f (g (2)) =$

3

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13

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18

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39

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168

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Solution

The correct option is C $18$
Given, $f (x) = 5 x + 3$ and $g (x) = x^{2} - 1$
$\Rightarrow f (g (2)) = f (2^{2} - 1)$
$\Rightarrow f (g (2)) = f (3)$
$\Rightarrow f (g (2)) = 5 \times 3 + 3$
$\Rightarrow f (g (2)) = 15 + 3 = 18$

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