Let `f={(x,x^2/(1+x^2)),x in R}` be a real
function from R to R. Determine the domain
and range of f.

Consider the function f(x) = (x^2 - 4)/(x - 2) Find the domain and range of f .

Consider the real function f(x)=(x+2)/(x-2) Find the domain and range of the function.

Let A={1,2,3,4,5,6} be a set. Defined a relation R from A to A by R={(x,y)//y=x+1} Write the domain and range of R.

Consider the function f(x)(={(1-x,x 0)) (ii)Fill the domain and range of the function f.

Consider two sets A= {1,2}, B= {3,4}. Define a relation R from A to B by R={(x,y):y=x+1} .Write down the domain, co-domain and range of R.

Let f be a function defined on [0,2], then find the domain of function g(x) = f (9x^2 -1)

Consider the real function f(x)=(x^2+2x+3)/(x^2-8x+12) Find the domain of f.

Let f : R to R be a differentiable function and f (1) = 4. Then the value of lim_( x to 1) int _(4) ^(f (x)) (2t)/(x -1) dt, if f '(1)= 2 is :

Consider the real valued function f(x)=(x-3)/(x^2-x-6) Find the domain of f(x) .

Let A={1,2,3,……,13,14} ,R is the relation on A defined by R={(x,y):3x-y=0 , x,y in A} Find the domain and range of R.