$\"\"$

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The functions are $\"\"$ and $\"\"$ .

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$\"\"$

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Find $\"\"$ .

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The sum $\"\"$ is the function defined by : $\"\"$ .

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$\"\"$

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$\"\"$ .

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All possible values of $\"\"$ is domain of a function.

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The function $\"\"$ is a radical function.

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

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Solve $\"\"$ .

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$\"\"$ .

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Solve $\"\"$ .

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$\"\"$ .

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Domain of $\"\"$ = domain of $\"\"$ domain of $\"\"$ .

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The domain of $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$

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Find $\"\"$ .

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The difference $\"\"$ is the function defined by : $\"\"$ .

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$\"\"$

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$\"\"$ .

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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 $\"\"$ .

\

$\"\"$ .

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Domain of $\"\"$ = domain of $\"\"$ domain of $\"\"$ .

\

The domain of $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$

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Find $\"\"$ .

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The product $\"\"$ is the function defined by : $\"\"$ .

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$\"\"$

\

$\"\"$ .

\

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 $\"\"$ .

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$\"\"$

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Domain of $\"\"$ = domain of $\"\"$ domain of $\"\"$ .

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The domain of $\"\"$ is $\"\"$ . $\"\"$

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$\"\"$

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Find $\"\"$ .

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The quotient $\"\"$ is the function defined by : $\"\"$ .

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$\"\"$

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$\"\"$ .

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All possible values of $\"\"$ is domain of a function.

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The function $\"\"$ is a radical function.

\

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

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Solve $\"\"$ .

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$\"\"$

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Denominator should not be zero.

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$\"\"$

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Domain of $\"\"$ = $\"\"$ domain of $\"\"$ domain of $\"\"$ .

\

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The function $\"\"$ .

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Since $\"\"$ is $\"\"$ when $\"\"$ .

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So exclude $\"\"$ .

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Since $\"\"$ is radical expression, radicand should be $\"\"$ .

\

$\"\"$

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The domain of $\"\"$ is $\"\"$ .

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$\"\"$

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Find $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

\

\

$\"\"$

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Find $\"\"$ .

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$\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

\

$\"\"$

\

Find $\"\"$ .

\

$\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

\

$\"\"$

\

Find $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$ $\"\"$ , domain is $\"\"$ .

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$\"\"$ $\"\"$ , domain is $\"\"$ .

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$\"\"$ $\"\"$ , domain is $\"\"$ .

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$\"\"$ $\"\"$ , domain is $\"\"$ .

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$\"\"$ $\"\"$ .

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$\"\"$ $\"\"$ .

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$\"\"$ $\"\"$ .

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$\"\"$ $\"\"$ .