[" For "x in R,f(x)=|log2-sin x|quad " an "],[g(x)=f(f(x))" ,then: "],[qquad " [JEE MAINS-2016"]

For x in R, f(x) = | log 2- sin x| and g(x) = f(f(x)) , then

For x in R, f(x) = | log 2- sin x| and g(x) = f(f(x)) , then

For x in R, f(x) =|log_(e) 2-sinx| and g(x) = f(f(x)) , then

For x in RR, f(x)=|log2-sinx| and g(x)=f(f(x)) , then

For x in R ,f(x)=|log2-sinx| and g(x)=f(f(x)) , then (1) g is not differentiable at x=0 (2) g'(0)=cos(log2) (3) g'(0)=-cos(log2) (4) g is differentiable at x=0 and g'(0)=-sin(log2)

If f(x) = x log x and g(x) = 10^(x) , then g(f(2)) =

If f(x)= sin^(2)x and g(f(x))=|sin x|, then g(x)=

If f(x)=log_(e)x and g(x)=e^(x) , then prove that : f(g(x)}=g{f(x)}