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RSB [31]
2 years ago
11

7. If F(x) = f(g(x)), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5)=-2, gʻ(5) = 6.. Find F'(5) ​

Mathematics
2 answers:
serious [3.7K]2 years ago
7 0

Answer:

I'm going to lay this out in a chart so it's a little easier to see:

F(x) = f(g(x))

x | f (x) | f ' (x) | g (x) | g ' (x)

--------------------------------------

-2 | 8 | 4 |

5 | | 3 | -2 | 6

Remember the chain rule, which says

(f (g (x))) ' = g ' (x) f ' (g (x))

When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.

Using the chain rule, that's

F ' (5) = g ' (5) f ' (g (5))

We can simplify using the numbers provided.

F ' (5) = (6) f ' (-2)

F ' (5) = (6) (4)

F ' (5) = 24

I hope that helps!

by jannat <33

Dovator [93]2 years ago
4 0

Step-by-step explanation:

I'm going to lay this out in a chart so it's a little easier to see:

F(x) = f(g(x))

x | f (x) | f ' (x) | g (x) | g ' (x)

--------------------------------------

-2 | 8 | 4 |

5 | | 3 | -2 | 6

Remember the chain rule, which says

(f (g (x))) ' = g ' (x) f ' (g (x))

When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.

Using the chain rule, that's

F ' (5) = g ' (5) f ' (g (5))

We can simplify using the numbers provided.

F ' (5) = (6) f ' (-2)

F ' (5) = (6) (4)

F ' (5) = 24

I hope that helps!

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3.) (4 x 9 - 21) \ 3+6^2
nignag [31]

Answer:

41

Step-by-step explanation:

Given Expression:

(4 x 9 - 21) \ 3+6^2

Multiply 4 and 9 to get 36.

36 - 21 / 3 + 6^2

Subtract 21 from 36 to get 15.

15/3 + 6^2

Divide 15 by 3 to get 5.

5+6^2

Calculate 6 to the power of 2 and get 36.

5+36

Add 5 and 36 to get 41.

41

3 0
3 years ago
A commercial aircraft gets the best fuel efficiency if it operates at a minimum altitude of 29,000 feet and a maximum altitude o
Semenov [28]

Answer:

A

Step-by-step explanation:

A is correct because if the minimum is 29,000 feet, x (the airplane altitutude) must be greater than or equal to 29,000 ft. Since the maximum is 41,000 feet, x must be less than or equal to that number.

6 0
2 years ago
Ben needs to run 3 kilometers. He already ran 1,200 meters. How much farther does he need to run?
Tanya [424]
1800 meters or 1.8 kilometers
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A the fraction one half kilogram of flour is packed equally into 8 bags. How much flour is in each bag
marissa [1.9K]

Answer:

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or 1/16th of a kilogram per bag

Step-by-step explanation:

You'd need to divide the total amount the the number of sections.

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I hope this helps!

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Read 2 more answers
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