The results of the composite functions are:
<h3>What are composite functions?</h3>
Composite functions are functions that are obtained by combining two or more functions together
Assume that:
Then the computation of the composite functions are as follows:
<h3>Function (f * g)(x)</h3>
<h3>Function f(g(x))</h3>
We have:
This gives
So, we have:
<h3>Function g(f(x))</h3>
We have:
This gives
So, we have:
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Answer:
I D K GUESS ITS 1 2 4 I GUESS THINKING
Step-by-step explanation:
Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
Answer:
61.8 square centimeters
Step-by-step explanation: