The domen range of the function y = √(x² - 4) is . Please explain with step i need explanation.

Given function is

We know

Domain of a function is defined as set of those real values of x for which function is well defined.

So, y is defined when

Now, To find the range of function

We know,

Range of a function is defined as set of those real values which is obtained by assigning the values to x.

So,

On squaring both sides, we get

Now, x is defined when

But,

Hence,

So, we have

and

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