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3 years ago

Here is a other question

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

6 0

Answer:

Step-by-step explanation:

$4 \frac{1}{2} \div 1 \frac{1}{2}$

$\frac{9}{2} \div \frac{3}{2}$

$\frac{9}{2} \times \frac{2}{3}$

$3$

fenix001 [56]3 years ago

3 0

Answer: C. 3

Step-by-step explanation:

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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) <br>

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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 |

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Remember the chain rule, which says

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

Using the chain rule, that's

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BF/FC = GF/FH

Similarly BF/BC = GF/GH

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Therefore to calculate the missing side, which is GF, we can use the ratio

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