[" i) "f(x)=log_(10)(sqrt(x-4)+sqrt(6-x))],[" iii) "f(x)=sin^(-1)((2-3[x])/(4))," where "[" lis the greatest integer function."]

f(x)=sin^(-1)[log_(2)((x^(2))/(2))] where [.] denotes the greatest integer function.

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

f(x)=cos^(-1)sqrt(log_([x])((|x|)/(x))) where [.1 denotes the greatest integer function

f(x)=cos^-1sqrt(log_([x]) ((|x|)/x)) where [.] denotes the greatest integer function

f(x)=cos^(-1)sqrt(log_([x])""abs(x)/x) , where [*] denotes the greatest integer.

Find the domain of definition of the following functions : (i) f(x) = log_(10) sin (x-3) + sqrt(16 - x^(2)) (ii) f(x) = sqrt((4- |x|)/(7-|x|)) (iii) f(x) = (1)/(sqrt([|x|-1]|-5)) where [x] denotes the greatest integer function.

Let f(x)=sin(tan^(-1)x). Then [f(-sqrt(3))] where [*] denotes the greatest integer function,is

find the domain of f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.