If `f(x)=sin^2x` and the composite functions `g{f(x)}=|sinx|,` then the function `g(x)=`

If f(x)=sin^(2)x and the composite functions g{f(x)}=|sin x|, then the function g(x)=

If f(x)=sin^2x and the composite function g(f(x))=|sinx| , then g(x) is equal to sqrt(x-1) (b) sqrt(x) (c) sqrt(x+1) (d) -sqrt(x)

If f(x)=sin^(-l)x and g(x)=sqrt(x), the domain of composite function fog(x) is

If y = f(u) is a differentiable functions of u and u = g(x) is a differentiable functions of x such that the composite functions y = f[g(x) ] is a differentiable functions of x then (dy)/(dx) = (dy)/(du) . (du)/(dx) Hence find (dy)/(dx) if y = sin ^(2)x

If g is inverse of function f and f'(x)=sinx , then g'(x) =

If both f(x)&g(x) are differentiable functions at x=x_(0) then the function defiend as h(x)=Maximum{f(x),g(x)}

f(x)={1+x,0

The function g is defined by g(x)=f(x^(2)-2x+8)+f(14+2x-x^(2)) where f(x) is twice differentiable function, f''(x)>=0 , AA x in R .The function g(x) is increasing in the interval

Statement-1 : If f(x) and g(x) are one-one functions then f(g(x)) and g(f(x)) is also a one-one function. and Statement-2 The composite function of two one-one function may or many not be one-one.