Answer:

Step-by-step explanation:
<u>The Inverse of a Function</u>
Given a function f(x), the inverse of f, called
is a function that satisfies:

The domain of f becomes the range of its inverse and vice-versa.
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
* Solve the equation for x.
* Swap the variables
We are given the function:

Defined in the interval x ≥ -3
Note f is always negative, thus its range is f(x) ≤ 0
Now we find the inverse. Call y=f(x):

Multiplying by 2:

Squaring both sides:

Subtracting 3:

Swapping variables:

Thus:

The domain of the inverse is the range of f, thus x is restricted to
x ≤ 0
There is no background information on this
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