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Question

If f(x)=x1+x2 then fofof(x)=

A
x1+3x2
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B
x1x2
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C
2x1+2x2
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D
x1+x2
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Solution

The correct option is A x1+3x2
fofof(x)=fof(x1+x2)
=f⎜ ⎜ ⎜ ⎜ ⎜ ⎜x1+x21+x21+x2⎟ ⎟ ⎟ ⎟ ⎟ ⎟
=f(x1+2x2)
=⎜ ⎜ ⎜ ⎜ ⎜ ⎜x1+2x21+x21+2x2⎟ ⎟ ⎟ ⎟ ⎟ ⎟
=x1+3x2

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