For Real valued function `f(x)=|x-3|` then the value of domain and Range is?

For real valued function f(x)=x^2+1 .Find the Domain and Range.

Consider the real-valued function satisfying 2f(sin x)+f(cos x)=x .then the (a)domain of f(x) is R (b)domain of f(x)is[-1,1] (c)range of f(x) is [-(2 pi)/(3),(pi)/(3)]( d)range of f(x) is R

If f(x)=ln(x^(2)+7|x|10) is a single valued real function then the range of f(x) in its natural domain will be

Consider the real function f:RtoR:f(x)=x+5" for all "x""inR . Find its domain and range. Draw the graph of this function.

If the domain of the function f(x)=(|x|)/(x) be [3,7] then its range is

The domain of real valued function f(x)=log_([x-(1)/(2)])[|x+1|] (where I.] denotes greatest integer function),is

For the function f (x) = (x + 3)/( x - 5) to be a bijective function, the domain and range, respectively of f (x) must be :

The domain of the real valued function f(x)=sqrt((x-2)/(3-x)) is . .

The range of the real-valued function f(x)=sqrt(2-x)+sqrt(1+x) is the interval

Let f(x)=sqrt(ax^(2)+bx). Find the set of real values of 'a' for which there is at least one positive real value of 'b for which the domain of f and the range of f are the same set.