Find the domains of definaton of the following functions:
(a) `f(x)=sqrt(arc sin (log_2x))`,
(b) `f(x)=log_(2) log_(3) log _(4) x,`
(c) `f(x)=1/x +2^(arc sinx)+1/sqrt(x-2)`
(d) `f(x)=log|4-x^(2)|`,
(e) `f(x)=sqrt(cos(sin x)+arc sin ""(1+x^(2))/(2x)`
Find the ranges of the following functions:
(f) `y=1/(2-cos 3x)`
(g) `y=x/(1+x^2)`

Answer

(d) `x=pm 2`