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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 $f left parenthesis x right parenthesis equals cube root of 5 x minus 1 end root$ across the $x minus a x i s$

$\sqrt[3]{- 5 x + 1}$
$\sqrt[3]{5 x + 1}$
$\sqrt[3]{- 5 x - 1}$
$\sqrt[3]{5 x - 1}$

The correct answer is: $cube root of negative 5 x plus 1 end root$

Here $g left parenthesis x right parenthesis equals negative 1 f left parenthesis x right parenthesis equals negative 1 cross times cube root of 5 x minus 1 end root equals cube root of negative 1 left parenthesis 5 x minus 1 right parenthesis end root equals cube root of negative 5 x plus 1 end root$
So, $g left parenthesis x right parenthesis equals cube root of negative 5 x plus 1 end root$ is the reflection of $f left parenthesis x right parenthesis$ across the $x minus a x i s$ .

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