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If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x...

If `g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2` , then (a). `f(x)=sin^2x ,g(x)=sqrt(x)` (b). `f(x)=sinx ,g(x)=|x|` (c). `f(x=x^2,g(x)=sinsqrt(x)` (d).`f\ a n d \g` cannot be determined

A

`f(x)=sin^(2)x,g(x)=sqrt(x)`

B

`f(x)=sinxg(x)=|x|`

C

`f(x)=x^(2),g(x)=sin sqrt(x)`

D

f(x) and g(x) cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
A
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