The functions are and .

Find .

The sum is the function defined by : .

.

All possible values of is domain of a function.

The function is a radical function.

So the expression under the square root (the radicand) must be nonnegative .

Solve .

.

Solve .

.

The domain of is .

Find .

The difference is the function defined by : .

.

All possible values of is domain of a function.

The function is a radical function.

So the expression under the square root (the radicand) must be nonnegative .

Solve .

.

Solve .

.

The domain of is .

Find .

The product is the function defined by : .

.

All possible values of is domain of a function.

The function is a radical function.

So the expression under the square root (the radicand) must be nonnegative .

Solve .

\ \

The domain of is .

Find .

The quotient is the function defined by : .

.

All possible values of is domain of a function.

The domain of is all real numbers.

Find .

.

Substitute in .

.

Find .

.

.

Find .

.

Substitute in .

.

Find .

.

Substitute in .

.

.

, domain is .

, domain is all real numbers.

, domain is .

, domain is all real numbers.

.

.

.

.