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`

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

Consider the function y=f(x) satisfying the condition f(x+1/x)=x^2+1//x^2(x!=0)dot Then the (a) domain of f(x)i sR (b)domain of f(x)i sR-(-2,2) (c)range of f(x)i s[-2,oo] (d)range of f(x)i s(2,oo)

Consider a real-valued function f(x)= sqrt(sin^-1 x + 2) + sqrt(1 – sin^-1x) then The domain of definition of f(x) is

If f is a real function defined by f(x)=(log(2x+1))/(sqrt3-x) , then the domain of the function is

Find domain for f(x)=[sinx] cos(pi/([x-1])) .

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

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

The range of f(x)=sin^(3)x in domain [-(pi)/(2),(pi)/(2)] is

Find the domain and range of the function f(x)=[sinx]

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]