Consider the function `f(x) = x+sqrt(1-x^2)`, then which of the following is are correct

Consider the function f(x) = In(sqrt(1-x^2)-x) then which of the following is/are true?

Consider the function f(x) = In(sqrt(1-x^2)-x) then which of the following is/are true?

Consider the function f(x)=In(sqrt(1-x^(2))-x) then which of the following is/are true?

Consider the function f(x)=sqrt(x^(2))+[x]^(2) in [-2,2] which of the following is correct?

Consider the function f(x)=e^(x) and g(x)=sin^(-1)x, then which of the following is/are necessarily true.

Consider the function f(x)=|x-1|+x^(2) where x in R. Which one of the following statements is correct?

Let f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)) then which of the following is correct :

Let f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)) then which of the following is correct :