Answer:
Option C
Step-by-step explanation:
We know that the function 
has as its domain all real numbers, and as a range 
We know that the function 
The denominator of the function can not be equal to 0. But 
for all 
where n is an integer number.
Therefore the domain of cot(x) are all real numbers except
The range of cot(x) are all real numbers
Then, the domain of f(g(x)) is:
x ∈ Domain g and g(x) ∈ Domain of f
Where:
Domain of g: All reals except
Domain of f: All reals.
This is:
Domain of f(g(x)):
All real numbers except 
Range of f(g(x)):
Therefore the correct option is:
C. Domain: All real numbers x except x does not equal npi for all integers n; Range: -1 is less than or equal to and is less than or equal to 1.
the answer to this question is 4
Is there a picture? I can't answer without knowing what you're asking
The function has neither because it goes infinitely up and infinitely down
Answer:
DK = 9
Step-by-step explanation:
In triangle AMD,
h² = p² + b²
or, h² = 6² + 4²
or, h²= 36 + 16
so, h² = 52
so, AM² = 52
Take x as reference angle,
cos²x = 16/52
Now,
In triangle, AMK,
Taking x as reference angle,
cos²x = b²/h²
cos²x = AM²/MK²
or, cos²x = 52/MK²
Now,
cos²x = 16/52 = 52/MK²
or,
16/52 = 52/MK²
or, 16MK² = 2704
or, MK² = 2704/16
or, MK² = 169
so, MK = 13
Now,
DK = MK - MD
or, DK = 13 - 4
so, DK = 9
