Answer:
3/4n=15
1/4n=15/3
4n=3/15
n=3/15×4
n=3/60
n=1/20
Step-by-step explanation:
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<h2>
Answer:</h2>
n = 1
<h2>
Explanation:</h2>
Here we have the following Geometric Sequence:
Where:
The first term occurs when 
. Next the second term occurs when 
, the third term when 
and so on. Therefore, the appropriate value of n that lies on the domain for n is
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
