Let `f:RR->RR and f(x+5/6)+f(x)=f(x+1/2)+f(x+1/3),` then

If f: RR -> RR is defined by f(x)={((x-2)/(x^2-3x+2), if x in RR\{1, 2}), (2, if x=1), (1, if x=2):}, then lim_(x->2) (f(x)-f(2))/(x-2)

Let f: RR to RR be defined by f(x)=1 -|x|. Then the range of f is

Let f:RR to RR be defined as f(x)=(x^2-x+4)/(x^2+x+4). Then the range of the function f(x) is____

Let RR be the set of real numbers and the mapping f: RR rarr RR be defined by f(x)=2x^(2) , then f^(-1) (32)=

Let the function f:RR rarr RR be defined by f(x)=x^(2) (RR being the set of real numbers), then f is __

If f : RR to RR is defined by f (x) = 2x -3, then prove that f is a bijection and find its inverse.

For x in RR - {0, 1}, let f_1(x) =1/x, f_2(x) = 1-x and f_3(x) = 1/(1-x) be three given functions. If a function, J(x) satisfies (f_2oJ_of_1)(x) = f_3(x) then J(x) is equal to :

For x in RR - {0, 1}, let f_1(x) =1/x, f_2(x) = 1-x and f_3(x) = 1/(1-x) be three given functions. If a function, J(x) satisfies (f_2oJ_of_1)(x) = f_3(x) then J(x) is equal to :

If f:RR rarr RR is defined by f(x)=x-[x] -(1)/(2)" for "x in RR , where [x] is the greatest integer not exceeding x, then {x in RR : f(x)=(1)/(2)}=