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Distance Formula

Construct the...

Question

Construct the graph of the following function:
$y = {log}_{2} (4 x - x^{2}) .$

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Solution

Given equation is $y = {log}_{2} (4 x - x^{2})$

Therefore as $(4 x - x^{2})$ is inside the $log$ it must be positive

$∴ (4 x - x^{2}) > 0$

$x \in (0, 4)$

So, the graph only exists in $(0, 4)$

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