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anygoal [31]
2 years ago
15

Use the function values for f and g shown in the table below to evaluate the following expression.

Mathematics
1 answer:
Vikentia [17]2 years ago
5 0

The function f(g(2)) is an illustration of a composite function

The value of f(g(2)) is 2

<h3>How to determine the value of the function f(g(2))?</h3>

Given:

The table of values for functions f(x) and g(x)

To calculate f(g(2)), we start by calculating g(2)

From the table;

g(2) = 6

So, we have:

f(g(2)) = f(6)

From the table;

f(6) = 2

So, we have:

f(g(2)) = 2

Hence, the value of f(g(2)) is 2

Read more about composite functions at:

brainly.com/question/10687170

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The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?
Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

a(n)=ar^{n-1}

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

  • Given, 5th term is 40, we can write:

ar^{5-1}=40\\ar^4=40

  • Given, 7th term is 10, we can write:

ar^{7-1}=10\\ar^6=10

We can solve for a in the first equation as:

ar^4=40\\a=\frac{40}{r^4}

<em>Now we can plug this into a of the 2nd equation:</em>

<em>ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}</em>

<em />

<em>Let's solve for a:</em>

<em>a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640</em>

<em />

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

<u>Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:</u>

ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80

possible values of 4th term is 80 & - 80

3 0
3 years ago
PLEASE HELP 11 points
tatuchka [14]

Answer:

12.56

Step-by-step explanation:

6 0
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at the amusement park each student is given $16 for food this covers the cost of two meals plus $4 for snacks how much money doe
Igoryamba
(16 - 4) ÷ 2
This would give you $6, so that is how much they expect you to spend per meal.
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Jo is looking for a new part-time job as a plumber. She responds to a classified ad for a position that pays 44.9K. What would h
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Answer:

855.77

Step-by-step explanation:

44500/52 equals 855.77

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The product of 5 and g
stich3 [128]

Answer:

5g

Step-by-step explanation:

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