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CGP EDU Academic Team
Published on: August 12, 2026
The function f(x) = log e (x 3 + √ (x 6 + 1)) is of the following types –
Text Solution
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CHECK THE SOLUTION.
(b, c)
We have, f(x) + f(–x) = log 1 = 0 ⇒ f(–x) = –f(x)
So, f(x) is an odd function.
Now, f(x) = log (x 3 + 
)
⇒ f ′ (x) = 
= 
> 0
⇒ f(x) is increasing.
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