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Evgesh-ka [11]
3 years ago
12

HELP PLEASE WILL MARK BRANIEST IF right

Mathematics
1 answer:
Nataliya [291]3 years ago
4 0

Answer:

f(g(5)) = 5

g(f(4)) = 0

f(f(6))=1

g(g(9)) = 0

Step-by-step explanation:

Given

The attached table of values

Solving (a): f(g(5))

First, we solve for g(5)

g(5) = 7

So:

f(g(5)) = f(7)

Next, we solve for f(7).

From the table

f(7) = 5

So:

f(g(5)) = 5

Solving (b): g(f(4))

First, we solve for f(4)

f(4) = 6

So:

g(f(4)) = g(6)

Next, we solve for g(6).

From the table

g(6) = 0

So:

g(f(4)) = 0

Solving (c): f(f(6))

First, we solve for f(6)

f(6) = 8

So:

f(f(6)) = f(8)

Next, we solve for f(8).

From the table

f(8) = 1

So:

f(f(6))=1

Solving (d): g(g(9))

First, we solve for g(9)

g(9) = 6

So:

g(g(9)) = g(6)

Next, we solve for g(6).

From the table

g(6) = 0

So:

g(g(9)) = 0

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Answer:

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age  \leq 3}\end{array}\right

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Step-by-step explanation:

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The current age distribution vector is as follows:

x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 0 \  \leq  age   \leq  2 }\\{0 \  \leq  age   \leq 3}\end{array}\right]

Also , the age transition matrix is as follows:

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After 1 year ; the age distribution vector will be :

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= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq 1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age   \leq  3}\end{array}\right

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Answer: 1000

____________________________________________________________

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