Which function is the inverse of f(x)=x²-16 if the domain is f(x)>0?

Step-by-step explanation:

The inverse of the function is

The Range of the inverse function will be the Domain of the function

The inverse of

is

Note that if the domain of the function where all the Real numbers, the inverse would be

Inverse of is

Option A is correct option.

Step-by-step explanation:

We need to find inverse of

For finding inverse replace f(x) with y

Now, solve for x

Adding 16 on both sides

Taking square root on both sides:

Now replace x with f^{-1}(x) and y with x

So, inverse of is

Option A is correct option.

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