Answer: 1, 7, 1, 7, 1.
Step-by-step explanation:
The given function : 
and f(1) = 1 for n ≥ 1
We put value of n=1,2,3,4 , we get
For n=1 , 
For n=2 , 
For n=3 , 
For n=4 , 
Hence, the first five terms of the given sequence are 1, 7, 1, 7, 1.
Annual interest - 4%
interest in 1 year
(4/100) * 4000
160
interest in 10 years
160 * 10
1600
So the amount you have at the end of 10 years
4000 + 1600
$ 5600
Answer:
dg
Step-by-step explanation:
It will be 1/4.
That is your answer.
Hope this helps
The answer is -8
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Explanation:
There are two ways to get this answer
Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8
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The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4
g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8
Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8
Regardless of which method you use, the answer is -8
