Property 1 (Modulus function) For any real no. x `sqrt(x^2)=|x|`

Property 3 (Modulus Function) For real no.x and y(1)|x+y|=|x|+|y|(2)|x-y|=|x|-|y|(3)|x+-y| =|x|-|y

Property 2(i) (Modulus function) If a and b are positive real no's then (1) x^(2) =a^(2)(3)x^(2) a^(2)

Property 2 (ii) (Modulus Function) If a and b are positive real no's then (5) a^(2)<=x^(2)<=b^(2) (6) a^(2)

Find the domain of the real function f(x)=sqrt(x^2 -4)

Find the domain of each of the following real valued functions of real variable: f(x)=sqrt(x-2) (ii) f(x)=(1)/(sqrt(x^(2)-1)) (iii) f(x)=sqrt(9-x^(2))( iv )f(x)=sqrt((x-2)/(3-x))

The domain of definition of the real function f(x)=sqrt(log_(12)x^(2)) of the real variable x, is

Write the domain of the real function f(x)=1/(sqrt(|x|-x))

Write the domain of the real function f(x)=sqrt(x-[x]) .