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KiRa [710]
3 years ago
6

What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?

Mathematics
1 answer:
11111nata11111 [884]3 years ago
3 0

function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

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7 0
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The function f(t) = 33 sin (pi over 2t) − 20 models the temperature of a periodic chemical reaction where t represents time in h
Gennadij [26K]
The given function is
f(t) = 33 sin( \frac{ \pi }{2} t) - 20
with
t = time, hours
f = temperature, °C


Because the maximum and minimum values for the Sine function are +1 and -1 respectively,
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The minimum value of f = -33 - 20 = -53. 

The period, T,  is given by
\frac{2 \pi }{T} = \frac{ \pi }{2} \\ \\ T=4

Answer:
Maximum: 13°;  Minimum: -53°;  period: 4 hours
4 0
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