2.09, 2.190, 2.37, 2.432
Hope this helps!
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
The percentage of change from 45 to 56 is 24.4%
To find this, we first need to find the difference between our two values. This difference would be 11.
The next step would be to divide 11 by 45. We then move the decimal point over two spots to the right which gives us our answer.
Answer:
(a+6)²
by identity (a+b)²=a²+2ab+b²
(a+6)²= a²+ 2×a×6 + 6²
= a²+ 12a + 36
(2a)²+5a = 4a²+5a
