Find the domain of the following function: \[ y=\sqrt{x} \] \[y= \sqrt{x+3} \]

As we know, the square root of negative numbers.

Hence, the x must be a positive value and greater than 0.

So, x:x∈[0,∞)

subtracting 3 from both sides

x:x∈[-3,∞)

Firstly we have to determine the domain of the function

The domain of the function is the set of values for which the function is real and defined.

In the function we can clearly observe that for the negative values of x , the value of y will not be real.

So, the domain for this function is or .

The second function is

In this function we can clearly observe that for the values of x less than -3, the function is not real.

So, the domain for this function is or

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