Answer:
Step-by-step explanation:
<u>Composite Function</u>
Suppose f(x) and g(x) are real functions, the composite function named 
is defined as:
The composite function can be found by substituting g into f.
We are given these functions:
Find:
a) h(g(x))
Substituting g into h:
b) h(g(f(x))
First we find g(f(x)):
Operating:
Simplifying:
Now find h(g(f(x)) replacing the above equation into h:
Simplifying and rearranging:
Answer:
36 total cookies
Step-by-step explanation:
2 dozen = 2/3 of the total cookies
24 = 2/3 of the total cookies
24/x = 2/3
cross multiply
24(3) = 2x
72 = 2x
x = 36
Check the math: 2/3 x 36 = 72/3 = 24
The equation represents the intersections. The correct option is A:
- f(2) = g(2) = 0
- f(0) = g(0) = 4.
<h3>Which represents where f(x) = g(x)?</h3>
If we have two functions:
y = f(x) and y = g(x), the equation:
f(x) = g(x) gives the value of x such that the two functions have the same output. So, that equation gives the intersection points between the two graphs.
By looking at the graph, we can see that we have two intersections, one at:
(2, 0) and other at (0, 4).
This means that:
- f(2) = g(2) = 0
- f(0) = g(0) = 4.
So the correct option is the first one.
If you want to learn more about intersections:
brainly.com/question/11337174
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