71614 is the answer, this can be found by simply solving this expression: 72000 - 386
Answer:
It is given that : 
As we have to find the Domain of 
.
-1 ≤ sin x ≤1
So it is defined for x lying between 
.
As meaning of Domain is those values of x for which any function f(x) is defined.
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
PEMDAS
(Please Excuse My Dear Aunt Sally)
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
In this order exactly that is the order of operations.
