The functions are and .

Find .

The sum is the function defined by : .

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All possible values of is the domain of a function.

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

The domain of is .

Find .

The difference is the function defined by : .

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All possible values of is the domain of a function.

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

The domain of is . 

Find .

The product is the function defined by : .

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All possible values of is the domain of a function.

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

The domain of is .

Find .

The quotient is the function defined by : .

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All possible values of is domain of a function.

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

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Find which number make the fraction undefined, create an equation where the denominator is not equal to zero.

The domain of is .

Find .

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Substitute in .

.

Find .

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Substitute in .

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Find .

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Substitute in .

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Find .

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Substitute in .

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, domain is .

, domain is .

, domain is .

, domain is .

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