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Which statement best describes g(x) = 3 x + 6 - 8 and the parent function f(x) = 3x ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.
The ranges of g(x) and f(x) are the same, but their domains are not the same.
The ranges of g(x) and f(x) are the same, and their domains are also the same.
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

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Answer:

The answer is C: the ranges of g(x) and f(x) are the same, and their domains are also the same.

Step-by-step explanation:

Just took the test on edge!! :)

Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.

What is domain?

List of values of x an equation can satisfy is called Domain.

What is range?

List of values y the function can generate is called range

For example, f(x)=x

it can satisfy real domain i.e. x∈R

and range is R

g(x) = 3 x + 6 - 8 and f(x) = 3x

Domain for both the function is R

Both the function can satisfy all the real numbers, so its range is also R.

Therefore,Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.

Learn more about domain and range,

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