The first thing you should do in this case is to compose both functions:
f (x) = x + 7
g (x) = 1 / (x-13)
Making the composition
f (g (x)) = (1 / (x-13)) + 7
f (g (x)) = (7 (x-13) +1) / (x-13)
Answer:
The domain of the function is:
x other than 13
(option 4)
Answer:
1000 my friend
Step-by-step explanation:
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Answer: (-1/5, 2/5)
Step-by-step explanation:
See the photo for explanation and work.
Let 2k represent the original even number (such that k is an integer)
then 2(k + 1) is the next consecutive even number.
4(2k) - 16 = 2(k + 1)
8k - 16 = 2k + 2
6k = 18
k = 3
since 2k represents the original number, then 2(3) = 6 is the oroginal number
Answer: 6