I have no clue but i wish you the best of luck
The domain of the composite function is given as follows:
[–3, 6) ∪ (6, ∞)
<h3>What is the composite function of f(x) and g(x)?</h3>
The composite function of f(x) and g(x) is given as follows:

In this problem, the functions are:
.
The composite function is of the given functions f(x) and g(x) is:

The square root has to be non-negative, hence the restriction relative to the square root is found as follows:


The denominator cannot be zero, hence the restriction relative to the denominator is found as follows:





Hence, from the restrictions above, of functions f(x), g(x) and the composite function, the domain is:
[–3, 6) ∪ (6, ∞)
More can be learned about composite functions at brainly.com/question/13502804
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Answer:
sin(x) = 5/13
cos(y) = 5/12
Therefore, sin(x) = cos(y)
Step-by-step explanation:
Trig ratios:

where
is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle
We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem 
(where a and b are the legs and c is the hypotenuse of a right triangle)

Now we can use the trig ratios:


Therefore, sin(x) = cos(y)
X=number of adult tickets
y=number of child tickets
I suggest this system of equations:
x+y=144
9x+6y=1164
we can solve this system of equations by substitution method.
x=144-y
9(144-y)+6y=1164
1296-9y+6y=1164
-3y=1164-1296
-3y=-132
y=-132/-3=44
x=144-y
x=144-44=100
Answer: the theatre sold 100 adult tickets and 44 child tickets.
Answer:
( 12, 0 )
Step-by-step explanation: