Which of the following functions are defined for all x ?

Find the values of x for which of the following functions are defined : cos^-1 (x^2-5x+5)

Find the values of x for which the following functions are defined,.Also find all possible values which functions take.f(x)=(1)/(x+1) (ii) f(x)=(x-2)/(x-3) (iii) f(x)=(2x)/(x-1)

Which of the following function(s) can be defined continuously at x=0?f(x)=(1)/(1+2^(cot x))

Find the values of x for which the following functions are defined,. Also find all possible values which functions take. f(x)=1/(x+1) (ii) f(x)=(x-2)/(x-3) (iii) f(x)=(2x)/(x-1)

Find the values of x for which the following functions are defined,. Also find all possible values which functions take. f(x)=1/(x+1) (ii) f(x)=(x-2)/(x-3) (iii) f(x)=(2x)/(x-1)

Which of the following are defined for all x ?

Which of the following functions has inverse function? a) f: ZrarrZ defined by f(x)=x+2 b) f: ZrarrZ defined by f(x)=2x c) f: ZrarrZ defined byy f(x)=x d) f: ZrarrZ defined by f(x)=|x|

Which one of the following functions is differentiable for all real values of x?