5

Point) Let F(c) f(f(z)) and G(c) = (F())? and suppose thatf(5) = 7, f(7) = 3, f' (7) = 6, f'(5) = 2Find F'(5) and G' (5)F' (5) 6' (5)...

Question

Point) Let F(c) f(f(z)) and G(c) = (F())? and suppose thatf(5) = 7, f(7) = 3, f' (7) = 6, f'(5) = 2Find F'(5) and G' (5)F' (5) 6' (5)

point) Let F(c) f(f(z)) and G(c) = (F())? and suppose that f(5) = 7, f(7) = 3, f' (7) = 6, f'(5) = 2 Find F'(5) and G' (5) F' (5) 6' (5)



Answers

If $ F(x) = f(g(x)), $ where $ f(-2) = 8, f'(-2) =4, f'(5) = 3, g(5) = -2, $ and $ g'(5) = 6, $ find $ F'(5). $

So this problem once is to find the difference of Half Inch E. After that, I was seven. So we just need to know that this is the same thing as saying of seven. Uh, try G seven. Both of which your bodies that were given to us. So efforts seven. This one. And this is Fred G of seven, which is for so it's this simple. Just attracting one minus four, which is just negative. Three Case of the difference of R F and G functions at the input seven is just gonna be negative three.

Tells us to find the product at the functions F N g at the value of seven. So, really, this just says, uh, used to input seven for ass. There were multiple that take the product of it and the input of the GI function and seven. Okay, so efforts seven is just one times gr seven is just for okay. So it's multiply one times for which is for yeah, thank you.

As you can see, I have the problem, you know? So we need to agree. What? F minus G time seven is in the way of saying is every time. Seven minus G time. Seven. And as you can see, I have the question for what s N. G is. I got these equations from the points that were given and from those points, I use decimals to figure out the equations that every not the exact equation. One of the points are isn't a liar. I explained this in a previous video. So if you want to know more about how got the equations, you could go to the period radio. We'll see you for this one. We're gonna do negative first. Don't forget the parentheses. Negative. Absolutely. Value of eggs moneys. So cause absolute value. Seven. All of this, Times seven. And I'm just gonna country writing everything M Fergie is gonna be parentheses. Eggs monness three times seven. I got a pregnant friend to see. So you know, these are old group different. All right, So to solve the 1st 1 first, we're gonna do seven times X. We're going right. Negative. Absolute value, because those doesn't change Stayed the same seven times X is seven eggs and seven times two is four and seven times seven is 49. Everything about the negative sign right here because we're subtracting. And then, for this equation, we're gonna do seven times eggs, which is seven eggs and seven times three, which is so anyone. Okay, so from this equation, So now we have to find a common we have to call my life terms. We can't do anything. Seven x and this seven extra here. Even though they're subtracting because seven X is grouped into this absolute value, we cannot take it out. So we're gonna write that back to how it was. I'm gonna write the whole equation. F When is G? It's on seven equals negative. Absolute value of seven eggs. Mona's four. Those actually value past 49. But we have this negative right here in this negative right here. So these we're gonna turn into a positive, so it's gonna be 49 plus 21 which is 70 plus 70 minus seven. And this is our

This is this problem wants us to find the sum of f N G. I have to. So it really translated that this means we need to find Apple too. And And that g of two. Well, if you look above, we can see the f of two is just seven and g of twos. Negative one. So if we add this too, just get the value six. So f plus g of two or the sum of F N g of two is just gonna be the value six. Thank you.


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