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Q.

If  f(x) is a real valued function defined by f(x)=ax10+bx8+cx6+dx4+ex2+12x+15x(x0)  and  f(4)=4 then f(4)=

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a

28

b

24

c

39

d

4

answer is A.

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Detailed Solution

f(x)=ax9+bx7+cx5+dx3+ex+12+15x

f(x)=ax9bx7cx5dx3ex+1215x

f(x)+f(x)=24

f(4)+f(4)=24

f(4)=24f(4)=24(4)24+4=28

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