Question

Find the inverse function answer to the question in the image attached.

Answer 1

The inverse function is:

$g(x) = 27*x^3 - 4$

And g(2) = 212.

How to get the inverse function?

We need to find g(x) such that:

g(h(x)) = x.

We know that:

$h(x) = \frac{\sqrt[3]{x + 4} }{3}$

Then our function must be a cubic, multiplied by 3^3 = 27, and then subtracts 4, it is:

$g(x) = 27*x^3 - 4$

As you can see, if you evaluate in h(x), the outcome is x.

Now we can evaluate this in x = 2, we get:

$g(2) = 27*2^3 - 4 = 212$

The correct option is C.

If you want to learn more about inverses.

brainly.com/question/14391067

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