Q. Given the functions `f(x)=e^(cos^-1(sin(x+pi/3)))`, `g(x)=cosec^-1((4-2cos x)/3)` & the function `h(x)=f(x)` defined only for those values of x, which are common to the domains of the functions `f(x)` and `g(x)`, Calculate the range of the function `h(x)` .

Options

A. `[e^((pi)/6),e^(pi)]`
B. `[e^(-(pi)/6),e^(pi)]`
C. `(e^((pi)/6),e^(pi))`
D. `[e^(-(pi)/6),e^((pi)/6)]`

Answer

A

Explanation

NA