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Question

f:RR is defined as f(x)=2x+|x| then f(2x)f(x)4x=

A
f(x)
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B
f(x)
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C
f(x)
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D
2f(x)
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Solution

The correct option is B f(x)
f(2x)=2(2x)+|2x|

=4x+2|x|

f(x)=2(x)+|(x)|

=2x+|x|

f(2x)f(x)=6x+|x|

f(2x)f(x)4x=2x+|x|

=(2x+|x|)

=f(x)

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