If `f_1(x) and f_2(x)` are defined on domains `D_1 and D_2`,respectively, then `f_1 (x) + f_2(x)` is defined on `D_1 nn D_2`.

If f(x) is defined on [0,1], then the domain of f(3x^(2)) , is

If f:x->y, where x and y are sets containing natural numbers, f(x)=(x+5)/(x+2) then the number of elements in the domain and range of f(x) are, respectively. (a) 1 and 1 (b) 2 and 1 (c) 2 and 2 (d) 1 and 2

The function f(x) is defined on [0, 1]. Find domain of definition of (tan x), f (sin x), f(2x - 3).

If f(x)=cos^2theta+sec^2theta, then f(x) f(x)>1 (d) f(x)geq2

Let f,g: Rvec be defined by f(x)=2x+1a n d g(x)=x^2-2 for all x in R , respectively. Then, find gofdot

Domain of the function f defined by f(x) = sqrt(x-1) is given by

If f(x)=(x^(2)-x)/(x^(2)+2x) , then find the domain and range of f. Show that f is one-one. Also, find the function (d(f^(-1)(x)))/(dx) and its domain.

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

Let f : D -> R , where D is the domain off. Find the inverse of f(x) = 1 - 2^-x

Find the domain of the real function f(x) defined by f(x)=sqrt((1-|x|)/(2-|x|))dot