Respuesta :
The functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 3x - 5
Here, g(x) is not given clearly.
But we can identify the given function as an inverse of each other.
Let's suppose the ordered pairs are:
[x, f(x)] and [x, g(x)]
The functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.
f(0) = -5 so for (0, -5) on the f(x) list then (-5,0) must be on the g(x) list
f(1) = -2 so for (1, -2) on the f(x) list then (-2, 1) must be on the g(x) list
f(2) = 1 so for (2, 1) on the f(x) list then (1, 2) must be on the g(x) list
Let's suppose:
g(x) = (x+5)/3
g(-5) = 0
g(-2) = 1
g(1) = 2
So the ordered pair (-5, 0), (-2, 1), and (1, 2) are in the list of g(x).
Thus, the functions are inverses if the reverse of every ordered pair on the f(x) list is on the g(x) list.
Learn more about the function here:
brainly.com/question/5245372
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