Let ^ -1 (x) (- 2 , 2 ), for x R . Then the number of real solutions of the equation 1 + (2x) = 2 ^ -1 ( x) in the set (- 3 2 , - 2 ) (- 2 , 2 ) ( 2 , 3 2 ) is equal to _____.

JEE Advanced 2023 Mathematics question

Let , for . Then the number of real solutions of the equation

= ( x) in the set (-, -) (-, ) (, )

is equal to .

Answer: 3

, so the equation is . On the three intervals equals , and ; writing for this value (), in every case, so each interval gives the

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Question ID VK-034069