If gf(x)=|sinx| , and fg(x)=(sin square root x)^2 , then f(x) and g(x) are prove that f(x)=sin^2 x and g(x) =square root x

Answers (1)

Solution:    Applying hit and trial method , we have

                    gf(x)=sqrtf(x)=sqrtsin^2x=left | sin x 
ight |

                    fg(x)=sin^2[g(x)]=(sin sqrtx)^2

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