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Mathematics

Grade10

Easy

Question

Find a function $g left parenthesis x right parenthesis$ that is the reflection of the graph of $f left parenthesis x right parenthesis equals square root of 2 x minus 3 end root$ across the $x minus text axis end text$ .

$- \sqrt{2 x - 3}$
$\sqrt{2 x - 3}$
$- \sqrt{2 x + 3}$
$\sqrt{2 x + 3}$

The correct answer is: $negative square root of 2 x minus 3 end root$

Here $g left parenthesis x right parenthesis equals negative 1 f left parenthesis x right parenthesis equals negative 1 cross times square root of 2 x minus 3 end root equals negative square root of 2 x minus 3 end root$
So, $g left parenthesis x right parenthesis equals negative square root of 2 x minus 3 end root$ the reflection of $f left parenthesis x right parenthesis$ across the $x text - axis end text$

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