TRUE/FALSE: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)=cos^2theta+sec^2theta, then f(x) f(x)>1 (d) f(x)geq2

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 in [0,1] . Find the domain of f(tanx).

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

The domain of the function defined by f(x)=cos^(-1) sqrt(x-1) is :

The domain of f(x)= (1)/( x^2 +1) is

If domain of f(x) is [1, 3], then the domain of f(log_(2)(x^(2)+3x-2)) is

Differentiate the following with respect to x. y = abs(x-2) find f (1) & f (4).

A function is defined by f(x)=2x-3 Find x such that f(x)=f(1-x) .