If R is the set of all real numbers, what do the cartesian products `R xx R and R xx R xx R` represent?

If R denotes the set of all real numbers then the mapping f:R to R defined by f(x)=|x| is -

If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q ?

If p,q,r are any real number, then

On the set R of real numbers, the relation rho is defined by x rho y, (x, y) in R .

Let R be the set of real numbers . If the function f : R to R and g : R to R be defined by f(x) = 4x+1 and g(x)=x^(2)+3, then find (go f ) and (fo g) .

R is a relation over the set of real numbers and it is given by mn ge 0 .Then R is

Let RR be the set of all real numbers and for all x in RR , the mapping f: R to R is dedined by f(x) = ax +2. if ( fo f ) =T_(RR) , then find the value of a.

Let NN be the set of all natural numbers and R be the relation on NNxxNN defined by : (a,b) R (c,d) rArr ad(b+c)=bc(a+d) Check wheather R is an equivalance relation on NNxxNN .

Let RR be the set of all real numbers and f : R to R be given by f(x) = 3 x^(2) +1 then the set f^(-1) ([1,6]) is -