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1 answer:
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Answer:
option D
Step-by-step explanation:
(fog)(x) = f(g(x))
Plug in g(x) in f(x)
We plug in 1/x+3 in the place of x in f(x)
To simplify it we take LCD
LCD is (x+3)(x+3)
All the denominators are same so we combine the numerators
Option D is correct
Answer:
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Explanation:
We have some number x such that x is a real number, so we write that as which is saying "x is in the real number set".
The portion is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.
This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.
The curly braces surrounding everything indicates that we have a set of values.
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Side note:
If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.
Though chances are your teacher will want you to stick to real numbers rather than just integers.