Answer:
f ○ g(x) = x and g ○ f(x) = x is the correct composition
Step-by-step explanation:
INVERSE FUNCTIONS: Two functions are said to be inverse of each other if for every y = f(x), there exists a function g(x),
such that x = 
= g(y)
Now, here if we need to show tha two functions f(x) and g(x) are inverse functions of each other , then show that for every x:
1. f o g(x) = f(g(x))= x
2. g o f(x) = g(f(x)) = x
If any two functions satisfy these two conditions, then they are inverse of each other.
Answer:
A) Suppose we have an onedimensional situation.
in the 0 of our x-axis, we have a fruit tree, and we want to rest at a distance no bigger than 6 ft of the tree, then all the possible positions of our resting place are:
x ∈(-6ft, 6ft)
we can write this as: IxI < 6ft
b) now we think the opposite situation, we want to rest at least 6ft away from the tree, then we have that:
x ∉ [-6ft, 6ft].
or IxI > 6ft.
So you can see that the difference in those two cases is if we want to be "inside a given range" (for the first case) or "outside a given range" (for the second case).
Answer:
12.5%
Step-by-step explanation:
80 - 70 = 10
10 / 80 = 0.125
Convert decimal to percent.
0.125 = 12.5%
Theoretical probability is the likelihood of a certain event occurring calculated based on all the possible outcomes. (Theorizing about the probability of a certain occurrence)
Experimental probability is the likelihood of a certain event occurring calculated by performing trials of an activity and recording the number of times an event occurs, then dividing the total number of even occurrences by total number of trials. (Experimenting to find probability of a certain occurrence)
Answer:
Step-by-step explanation:
By lowest terms, it means to simplify. You can do so by dividing the fraction by a common factor, which in this case, is 6:
÷ 
=
The fraction cannot be simplified further, so this is the final answer.
