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JEE MATHEMATICS MCQ: FUNCTIONS

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If f(2x+3)=sin⁡x+2x,f\left( {2x + 3} \right) = \sin x + {2^x}, then f(4m−2n+3)f\left( {4m - 2n + 3} \right) is equal to
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Correct option: D
sin⁡(2m−n)+22m−n\sin \left( {2m - n} \right) + {2^{2m - n}}
Option D (sin⁡(2m−n)+22m−n\sin \left( {2m - n} \right) + {2^{2m - n}}) is correct because it is obtained by substituting x = 2m - n into the given function.

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