f ( x ) = x 2015 + lo g ( x + x 2 + 1 ) ∀ ∈ R , Then

∵ f ( x ) is an odd function and if a + b > 0 ⇒ f ( a ) + f ( b ) > 0 also if a + b < 0 ⇒ f ( a ) + f ( b ) < 0 as f ( x ) is an increasing function also.

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Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsTypes of Function (Mapping)Medium2 minQB

MathematicsMediummultiple choice

$f (x) = x^{2015} + lo g (x + x^{2} + 1) \forall \in R$ , Then

Options:(select one or more)

Answer:

A, C

Solution:

$∵ f (x)$ is an odd function and if $a + b > 0$

$\Rightarrow f (a) + f (b) > 0$ also if $a + b < 0$

$\Rightarrow f (a) + f (b) < 0$ as $f (x)$ is an increasing function also.

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Types of Function (Mapping)

⏱ 2mℹ️ Source: QB

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