Answer:
g(x)= [tex]6(\frac{1}{3})^{-x}[/tex]
Step-by-step explanation:
a reflection of f(x) = 6(1/3)^x across the y-axis
Given f(x)= [tex]6(\frac{1}{3})^x[/tex]
When graph of f(x) reflects across y axis then f(x) becomes f(-x)
For reflection across y axis we replace x with -x
f(x)= [tex]6(\frac{1}{3})^x[/tex]
f(-x)= [tex]6(\frac{1}{3})^{-x}[/tex]
f(-x) is a reflection across the y axis that is our g(x)
So g(x)= [tex]6(\frac{1}{3})^{-x}[/tex]
Answer:
[tex]g(X) = 6\bigg(\displaystyle\frac{1}{3}\bigg)^{-x}[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x) = 6\bigg(\displaystyle\frac{1}{3}\bigg)^x[/tex]
We have to find another function g(x) that is reflection of f(x) across, the y-axis.
To find the reflection of the function, we put -x in place of x to find the reflection of given function.
Thus, reflection of f(x) is given by g(x), where,
[tex]g(x)=f(-x) = 6\bigg(\displaystyle\frac{1}{3}\bigg)^{-x}[/tex]
The attached image shows the function and the reflection of function across y-axis.
