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Question

If f(x)=x2 and g(x)=2x, then the solution set of the equation f(2x)=g(x2) is

A
[0,2]
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B
R
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C
{0,2}
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D
R[0,2]
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Solution

The correct option is C {0,2}
f(2x)=(2x)2, g(x2)=2x2
Given f(2x)=g(x2)
22x=2x2
2x=x2x22x=0x=0,2

Hence, the solution set is {0,2}

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