JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

The domain of definition of the function

f(x)=

\log _2\left(\log _{1 / 2}\left(x^2+4 x+3\right)\right)+\sin ^{-1}\left(2[x]^2-3\right),[x]

denotes the greatest integer

\leq x

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the domain is determined by the intersection of the logarithmic and inverse sine conditions, resulting in

-1 < x < -2+\sqrt{{2}}

More Questions from FUNCTIONS

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

f(x)=x(4-x)

f^{-1}(x)

g(f(x))=|\sin x|

f(g(x))=(\sin \sqrt{x})^2

f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

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\}