JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

The range of the function

f\left( x \right) = \tan \sqrt {\frac{{{\pi ^2}}}{9} - {x^2}}

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Correct option: B

[0,\sqrt 3 ]

Option B (

[0,\sqrt 3 ]

) is the correct range because it considers the domain restriction and the behavior of the tangent function within that domain.

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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f\left( x \right) = x - \left[ x \right]

{f^{ - 1}}\left( x \right)

f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

S=\left\{x: f(x)=f^{-1}(x)\right\}