how are the two functions $f(x)=0.7(6)^{x}$ and $g(x)=0.7(6)^{-x}$ related to each other?\n$g(x)$ is the…

how are the two functions $f(x)=0.7(6)^{x}$ and $g(x)=0.7(6)^{-x}$ related to each other?\n$g(x)$ is the reflection of $f(x)$ over the x - axis.\n$g(x)$ is the reflection of $f(x)$ over the y - axis.\n$g(x)$ is the reflection of $f(x)$ over both axes.\n$g(x)$ and $f(x)$ will appear to be the same function.

how are the two functions $f(x)=0.7(6)^{x}$ and $g(x)=0.7(6)^{-x}$ related to each other?\n$g(x)$ is the reflection of $f(x)$ over the x - axis.\n$g(x)$ is the reflection of $f(x)$ over the y - axis.\n$g(x)$ is the reflection of $f(x)$ over both axes.\n$g(x)$ and $f(x)$ will appear to be the same function.

Answer

Explanation:

Step1: Recall reflection rules

Reflection of $y = f(x)$ over y - axis gives $y = f(-x)$.

Step2: Analyze given functions

Given $f(x)=0.7(6)^{x}$ and $g(x)=0.7(6)^{-x}$. Here $g(x)=f(-x)$.

Answer:

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