JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

The domain of definition of the function

f\left( x \right) = {\sin ^{ - 1}}\left( {\frac{{x - 3}}{2}} \right) - {\log _{10}}\left( {4 - x} \right),\mathrm{is}

View answer and explanation

Correct option: C

1 \le x < 4

Option C (

1 \le x < 4

) is correct because it represents the intersection of the domains of the arcsine function and the logarithmic function, ensuring both are defined.

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