Question

Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.

Answer 1

We will see that g(x) is a reflection across the y-axis of f(x), then:

   $g(x) = f(-x) = 3^{-x$

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:

$f(x) = 3^x$

Then, replacing f(x) on the formula for g(x), we get:

$g(x) = f(-x) = 3^{-x$

That is the function g(x) shown in the figure.

If you want to learn more about transformations:

brainly.com/question/4289712

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