Answer:
f(x) = 2+5
g(x) = 2(-(x−3))+5
Step-by-step explanation:
If you remember, an absolute value can have two different answer, a positive and negative answer because the absolute value symbol makes all values in it positive. Example: |-2|=2 and |2|=2
So if y = 2|x−3|+5
then the two possibilities are
y = 2(x−3)+5 and
y = 2(-)+5
Set one of them equal to f(x) and the other one to g(x)
f(x) = 2(x−3)+5
g(x) = 2(-(x−3))+5
You can also write it as a piecewise function.

Answer:
median = 17.5
Step-by-step explanation:
The median is the middle value of a data set arranged in ascending order. If there is not a middle value then the median is the average value of the numbers either side of the middle.
Data in ascending order is
8, 15, 17, 18, 19, 21
The median is between 17 and 18, hence
median =
= 17.5
Answer:6n-5
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
to the previous term in the sequence gives the next term. In other words,
Formula:A*n=a*1d(n-1)
X = 15
Inverse operations would be + 5 to the -5 which cancels that out, & adding 5 to the 15 which gives you 15