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If f9x)=a x^7+b x^3+c x-5,a , b , c are ...

If `f9x)=a x^7+b x^3+c x-5,a , b , c` are real constants, and `f(-7)=7,` then the range of `f(7)+17cosxi s` `[-34 ,0]` (b) `[0, 34]` `[-34 ,34]` (d) none of these

A

[-34, 0]

B

[0, 34]

C

[-34, 34]

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`f(7)+f(-7)= -10`
`or f(7)= -17`
`or f(7)+17 cosx= -17 +17 cosx`
which has range `[-34,0]`.
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