$Find f o g when f (x) = 2 x + 1$ and
$g (x) = x^{2} - 2$ .

- 2 x^{2} + 3

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2 x^{2} + 3

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2 x^{2} - 3

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- 2 x^{2} - 3

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Solution

The correct option is C $2 x^{2} - 3$
Given:
$f (x) = 2 x + 1 and g (x) = x^{2} - 2$
$f o g (x) = f (g (x)) = f (x^{2} - 2) = 2 (x^{2} - 2) + 1 = 2 (x^{2}) - 3$

$∴ f o g (x) = 2 x^{2} - 3$

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