JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

The domain of definition of

f\left( x \right) = {\log _{10}}\left\{ {1 - {{\log }_{10}}\left( {{x^5} - 5x + 16} \right)} \right\},

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Correct option: B

\left( {2,\;3} \right)

The correct answer is B ((2, 3)) because the domain is found by ensuring the argument of the outer logarithm is positive, leading to the inequality

x^2 - 5x + 6 < 0

, which gives the interval (2, 3).

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