Consider the real-valued function satisfying `2f(sinx)+f(cosx)=xdot` then the (a)domain of `f(x)i sR` (b)domain of `f(x)i s[-1,1]` (c)range of `f(x)` is `[-(2pi)/3,pi/3]` (d)range of `f(x)i sR`

Let f be a real-valued function such that f(x)+2f((2002)/x)=3xdot Then find f(x)dot

Let f be a real-valued function such that f(x)+2f((2002)/x)=3xdot Then find f(2)dot

The domain of the real valued function f(x)=3e^sqrt(x^2-1)log(x-1) is

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Find the domain of the function f(x)=1/(1+2sinx)

If f(x) is an invertible function and g(x)=2f(x)+5, then the value of g^(-1)(x)i s

Suppose f is a real function satisfying f(x+f(x))=4f(x) and f(1)=4. Then the value of f(21) is a). 16 b). 21 c). 64 d). 105

The graph of a function fx) which is defined in [-1, 4] is shown in the adjacent figure. Identify the correct statement(s). (1) domain of f(|x|)-1) is [-5,5] (2) range of f(|x|+1) is [0,2] (3) range of f(-|x|) is [-1,0] (4) domain of f(|x|) is [-3,3]

Find the domain and the range of the real function f defined by f(x)=|x-1|

If f(x)= x^2/(1+x^2) then the range of f is