JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Application +4 | -1

The solution set of the inequation

{\log _{\sin 2\pi /3}}\left( {{x^2} - 3x + 2} \right) \ge 2,

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Correct option: C

\left[ {1/2,\;1} \right) \cup \left( {2,\;5/2} \right]

Option C

\left[ {1/2,\;1} \right) \cup \left( {2,\;5/2} \right]

is correct because it is the solution set of the given logarithmic inequality considering the domain.

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\}