the equation of the new function is:
[tex]g(x) = 2^{x - 5} - 7[/tex]
We have a function:
[tex]f(x) = 2^x[/tex]
And we want to shift it five units to the right, and seven units down, then the new function will be:
[tex]g(x) = f(x - 5) - 7[/tex]
If we now replace f(x), we get:
[tex]g(x) = 2^{x - 5} - 7[/tex]
That is the equation of the new function.
If you want to learn more about translations:
https://brainly.com/question/24850937
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