Question

COS X - 7 Domain of Z definitions V6 +35x - 6x? (b ) y =

JEE/Engineering Exams

Maths

Solution

121

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( y=frac{sqrt{cos x-1} / 2}{sqrt{6+35 x-6 x^{2}}} ) The quantity inside Sqiroot cant be negetive ( therefore-6 x^{2}+35 x+6 geq 0 ) ( 6 x^{2}-36 x+x-6 x leq 0 ) ( (x-6)(6 x+1) leqslant 0 ) ( x in[-1 / 6,6] ) ( theta x-1, geq 0 ) ( cos x geq 1 / 2 ) ( therefore ) Domainis ( left(frac{1}{6}, pi / 3right] cupleft[frac{5 pi}{3}, 6right) )