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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1. 2 3/4 = 11/4(2 * 4 + 3)
2. 1 1/4 = 5/4(1 * 4 + 1)
11/4 * 5/4 = 55/16 OR 3 7/16 if simplified.
Answer:
<u>Usain Bolt's average speed in yards per second was 11.4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
World record of Usain Bolt = 9.589 seconds
Distance of the world record = 100 meters
1 yard = 0.9144 meters ⇒ 100 meters = 109.36 yards
2. What was Usain Bolt's average speed in yards per second?
Let's recall that the formula of speed is:
Speed = Distance/Time
Replacing with the values we know:
Usain Bolt's Speed = 109.36/9.589
<u>Usain Bolt's Speed = 11.4 yards per second (Rounding to one decimal place)</u>
Answer:
u = 3
Step-by-step explanation: