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Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1) and crosses the y - axis at (0, 0.5).(3)x across the y-axis?

g(x) = 2(3)x
g(x) = −One-half(3)x
g(x) = One-half(3)−x
g(x) = 2(3)−x

Which function represents gx a reflection of fx On a coordinate plane 2 exponential functions are shown g x decreases in quadrant 2 and approaches y 0 in quadra class=

Respuesta :

z0mba

Answer: C. g(x) = 1/2(3)^-x

Step-by-step explanation: IT ISNT D

This is also my 900th answer! :)

The reflection of the given function [tex]f(x)=\frac{1}{2}(3)^x[/tex] over the y-axis [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]

What is a function?

  • "It defines a relation between input and output values."
  • "In function, for each input there is exactly one output."

What is reflection?

"It is a mirror image of the shape or graph of a function. "

For given question,

We have been given a function [tex]f(x)=\frac{1}{2}(3)^x[/tex]

We know that

A reflection over the y-axis interchanges positive x-values with negative x-values, swapping x and -x.

The reflection of the given function over the y-axis will be equal to

(Remember interchanges positive x-values with negative  x-values)

[tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]

Therefore, the reflection of the given function [tex]f(x)=\frac{1}{2}(3)^x[/tex] over the y-axis [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]

Learn more about the reflection of function here:

https://brainly.com/question/13206012

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