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Q.

If f(x)=x2, for x≥0x, for x<0, then fof(x) is given by

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a

x2 for x≥0,x for x<0

b

x4 for x≥0,x2 for x<0

c

x4 for x≥0,−x2 for x<0

d

x4 for x≥0,x for x<0

answer is D.

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Detailed Solution

f(f(x))=(f(x))2, for f(x)≥0f(x), for f(x)<0=x22,x2≥0,x≥0x2,x≥0,x<0x2,x2<0,x≥0x,x<0,x<0=x4,x≥0x,x<0

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