How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

g(x) is the reflection of f(x) over the x-axis.
g(x) is the reflection of f(x) over the y-axis.
g(x) is the reflection of f(x) over both axes.
g(x) and f(x) will appear to be the same function.

Respuesta :

Answer:

It's B

Step-by-step explanation:

edge2021

We will see that g(x) is a reflection over the y-axis of f(x).

How does a reflection work?

For a given function f(x), we can define:

  • A reflection over the x-axis as: g(x) = -f(x)
  • A reflection over the y-axis as: g(x) = f(-x).

In this case we have:

f(x) = 0.7*(6)^x

g(x) = 0.7*(6)^-x = f(-x)

So is ratter easy to notice that g(x) is a reflection over the y-axis of f(x), so the correct option is:

"g(x) is the reflection of f(x) over the y-axis."

If you want to learn more about reflections, you can read:

https://brainly.com/question/4289712

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