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$If f (x) = a x^{7} + b x^{3} + c x - 5, a, b, c are real constants, and$ $f (- 7) = 7, then the range of f (7) + 17 \cos x is$

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[−34,0]

[0,34]

[-34,34]

None of these

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detailed solution

Correct option is B

f(7)+f(−7)=−10f(7)=−17 or f(7)+17cos⁡x=−17+17cos⁡xwhich has the range [-34, 0].

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If f(x)=ax7+bx3+cx−5,a,b,c are real constants, and f(−7)=7, then the range of f(7)+17cos⁡x is

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$If f (x) = a x^{7} + b x^{3} + c x - 5, a, b, c are real constants, and$ $f (- 7) = 7, then the range of f (7) + 17 \cos x is$