If f(x) = $x^{2}$ and $g (x) = 2 x + 1$ be two real valued function. Find $f (g (x))$ and $\frac{f (x)}{g (x)}$

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Solution

$f (x) = x^{2}$
$f (g (x)) = f (2 x + 1) = {(2 x + 1)}^{2}$
$= 4 x^{2} + 4 x + 1$
$\frac{f (x)}{g (x)} = \frac{x^{2}}{2 x + 1}$

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