Answer:
Option B. 
all real numbers
Step-by-step explanation:
We have
and 
They ask us to find
(fog)(x) and it's Domain
To solve this problem we must introduce the function g(x) within the function f(x)
That is, we must do f(g(x)).
So, we have:
Then:
The domain of the function f(g(x)) is the range of the function .
Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers
Therefore the correct answer is the option b:
And his domain is all real.
Answer:
Um i'ma just guess i'm not really good at math even if i'm in honors so i think its D i believe
Step-by-step explanation:
An Euler path, in a graph or multi graph, is a walk through the graph which uses every edge exactly once. An Euler circuit is an Euler path which starts and stops at the same vertex. Our goal is to find a quick way to check whether a graph (or multi graph) has an Euler path or circuit.
hope it helps
Answer:
The volume of a right circular cone is 
.
Step-by-step explanation:
The circumference of the base of a right circular cone is 125.6 ft.
Height of cone is 75 ft.
Circumference of base is :
, r is radius
The volume of a cone is given by :
So, the volume of a right circular cone is .
Well, you could assign a letter to each piece of luggage like so...
A, B, C, D, E, F, G
What you could then do is set it against a table (a configuration table to be precise) with the same letters, and repeat the process again. If the order of these pieces of luggage also has to be taken into account, you'll end up with more configurations.
My answer and workings are below...
35 arrangements without order taken into consideration, because there are 35 ways in which to select 3 objects from the 7 objects.
210 arrangements (35 x 6) when order is taken into consideration.
*There are 6 ways to configure 3 letters.
Alternative way to solve the problem...
Produce Pascal's triangle. If you want to know how many ways in which you can choose 3 objects from 7, select (7 3) in Pascal's triangle which is equal to 35. Now, there are 6 ways in which to configure 3 objects if you are concerned about order.
