Hi there!
Answer:
1/6
Explanation:
The first probability of getting blue is 4 out of the total marbles so 4/9.
The second time there are only 3 blue marbles out of 8 now so 3/8.
So the answer is 4/9X3/8
which equals 12/72 or 1/6
Hope this helps!
We first need to find f(3).
f(3) = 2(3) + 8
f(3) = 6 + 8
f(3) = 14
We now want g(f(3)).
We know that f(3) is 14.
We also know that g(x) is 5.
As you know, 5 is a constant. No matter what the value of x is for g(x), it will not change the value of g(x).
So, g(f(3)) = g(14) = 5.
Answer: g(f(3)) = 5.
Answer:
If both g(x) and f(x) are the same equation, then they will have the same slopes.
When

, you have

.
When

, you have

.
Clearly,

.
Assume

. Now when

, you have

Therefore by induction the sequence is monotone (decreasing).