The inverse function is:

And g(2) = 212.
<h3>
How to get the inverse function?</h3>
We need to find g(x) such that:
g(h(x)) = x.
We know that:
![h(x) = \frac{\sqrt[3]{x + 4} }{3}](https://tex.z-dn.net/?f=h%28x%29%20%3D%20%5Cfrac%7B%5Csqrt%5B3%5D%7Bx%20%2B%204%7D%20%7D%7B3%7D)
Then our function must be a cubic, multiplied by 3^3 = 27, and then subtracts 4, it is:

As you can see, if you evaluate in h(x), the outcome is x.
Now we can evaluate this in x = 2, we get:

The correct option is C.
If you want to learn more about inverses.
brainly.com/question/14391067
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-1/6 The x is coefficient is negative and is 1/6
Step-by-step explanation:
log x = 1 + a
a = log x - 1
log y = 1 - a
a = 1 - log y
So
log x - 1 = 1 - log y
log x + log y = 2
log (xy) = 2
xy = 100