If f: R \\toR^{2} and g: R^{+} \\toR are such that g\{f(x)\}=|\sin x| and f\{g(x)\}=(\sin \\sqrt{x})^{2}then a possible choice for f and g is

Correct Answer is : f(x)=sin2x,g(x)=√x

f(x)=x^{2}, g(x)=\sin \\sqrt{x}

f(x)=\sin ^{2} x, g(x)=\\sqrt{x}

AP EAMCET Engineering 2012 Solved Paper

Section: Mathematics

Question : 118 of 160

Marks: +1, -0

If f:R→R2 and g:R+→R are such that g{f(x)}=|sin‌x| and f{g(x)}=(sin‌√x)2then a possible choice for f and g is

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