Given the following function:
[tex]f(x)=cos(x);g(x)=cot(x)[/tex]
We will write the composite function f(g(x))
So, the composite function will be as follows:
[tex]f(g(x))=cos(cot\text{ }x)[/tex]
The domina of the composite function is the domain of the cosine function except for the values of the x which is undefined for cot (x)
So, the domain will be:
Domain = All real numbers except for x≠ nπ
The range of the composite function is the range of the cosine function
Range = [-1, 1]
So, the answer will be option C
