The equation of the new function is:
[tex]g(x) = \frac{2^x}{5}[/tex]
Here we have the function:
[tex]f(x) = 2^x[/tex]
A vertical compression by a factor of 5 is written as:
[tex]g(x) = f(x)/5[/tex]
Replacing the function f(x) we get:
[tex]g(x) = \frac{2^x}{5}[/tex]
That is the equation of the new function.
If you want to learn more about compressions:
https://brainly.com/question/9525531
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