Range of f ( x ) = cos − 1 ( x 4 + 1 x 2 + x + 1 ) is

Let g ( x ) = x 4 + 1 x 2 + x + 1 ⇒ 0 < g ( x ) ≤ 1 . So range of f ( x ) is [ 0 , 2 π ) .

Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsDomain-RangeMedium2 minQB

MathematicsMediumsingle choice

Range of $f (x) = cos^{- 1} (\frac{x ^{2} + x + 1}{x ^{4} + 1})$ is

Answer:

Solution:

Let $g (x) = \frac{x ^{2} + x + 1}{x ^{4} + 1} \Rightarrow 0 < g (x) \leq 1$ . So range of $f (x)$ is $[0, \frac{π}{2})$ .

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 2mℹ️ Source: QB

Loading discussions...