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If h(x)= f(f(x)) for all x inR, and f(x)...

If h(x)= f(f(x)) for all x `in`R, and f(x)=`x^3 + 3x+2` , then h(0) equals

A

6

B

16

C

2

D

15

Text Solution

Verified by Experts

The correct Answer is:
B
From example 138, `h(x)=f(f(x))"for all"x in R`
`therefore h(0)=f(f(0))=f(2)=2^(3)+3xx2+2=16" "[therefore f(x)=x^(3)+3x+12]`
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