We will see that g(x) is a reflection across the y-axis of f(x), then:
[tex]g(x) = f(-x) = 3^{-x\\[/tex]
How to identify the function g(x)?
By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).
So we can write:
g(x) = f(-x)
Here we know that:
[tex]f(x) = 3^x[/tex]
Then, replacing f(x) on the formula for g(x), we get:
[tex]g(x) = f(-x) = 3^{-x\\[/tex]
That is the function g(x) shown in the figure.
If you want to learn more about transformations:
https://brainly.com/question/4289712
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