Respuesta :

The inverse of the function is y is equal to √(1+x) and restricted domain and range are x ≥ 1 and y ≥ 0 respectively.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Here the function is not given, so we are assuming the function is:

f(x) = x² - 1

Here the domain of the function is x ∈ R (all real numbers0

And range of the function:

f(x) ∈ (-1, ∞)

Now finding inverse of a function:

[tex]\rm f^{-1}(x) = \sqrt{1+x}[/tex]  or

[tex]\rm y= \sqrt{1+x}[/tex]

So the domain of the function is restricted and the domain of the function:

x ≥ 1

And the range of a function will be:

y ≥ 0

Thus, the inverse of the function is y is equal to √(1+x) and restricted domain and range are x ≥ 1 and y ≥ 0 respectively.

Learn more about the function here:

brainly.com/question/5245372

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