smvamv smvamv
  • 04-08-2022
  • Mathematics
contestada

Which function represents g(x), a reflection of f(x) = 1/2(3)^x across the y-axis?

Respuesta :

facundo3141592
facundo3141592 facundo3141592
  • 05-08-2022

The equation for the reflected function is:

g(x) =  (1/2)*(3)^(-x)

How to get the reflected function?

Here we know that function g(x) is a reflection of f(x) across the y-axis.

Remember that the reflection is written as:

g(x) = f(-x)

Here we know that:

f(x) = (1/2)*(3)^x

Then, replacing that in the equation for g(x), we get:

g(x) =  f(-x) = (1/2)*(3)^(-x)

g(x) =  (1/2)*(3)^(-x)

If you want to learn more about reflections:

https://brainly.com/question/4289712

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