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F(x)=x^(5)+log,(x+sqrt(1+x^(2))), Then f...

`F(x)=x^(5)+log,(x+sqrt(1+x^(2)))`, Then for all `alpha, beta in R` such that `alpha+beta gt 0`

A

`F(alpha)+F(beta)lt0`

B

`F(alpha)+F(beta)gt0`

C

`F(alpha+7)+F(beta)lt0`

D

`F(alpha)+F(beta+1)=0`

Text Solution

Verified by Experts

The correct Answer is:
B
`F(x)` is an odd function so
` F(alpha)+F(-alpha)=0`
`F(x)` is uarr function so
is `alpha+beta gt implies alpha gt -beta implies F(alpha)+F(beta)gt0`
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