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MathsMediumMCQ2024 · 30 Jan Shift 1

Q72.If the domain of the function f(x) = cos−1( 2−|x|4 ) equal to : (1) 12 (2) 9 (3) 11 (4) 8

What This Question Tests

This question tests the ability to find the domain of a composite function involving inverse cosine and logarithmic functions, considering their respective domain constraints.

Concepts Tested

Domain of inverse trigonometric functions (cos⁻¹x)Properties of modulus functionLogarithmic function domain

Formulas Used

Domain of cos⁻¹(x) is [-1, 1]

logₐ(x) defined for x > 0

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