$\"\"$

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

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

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Numerator of the rational function is a radical expression.

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

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$\"\"$

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

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$\"\"$ .

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The domain of $\"\"$ is all real numbers $\"\"$ and does not equals to 0.

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

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

\

Numerator of the rational function is a radical expression.

\

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

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$\"\"$

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

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$\"\"$ .

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The domain of $\"\"$ is all real numbers $\"\"$ and does not equals to 0.

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Thus, 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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$\"\"$

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$\"\"$ .

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

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

\

Numerator of the rational function is a radical expression.

\

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

\

$\"\"$

\

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

\

$\"\"$ .

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The domain of $\"\"$ is all real numbers $\"\"$ and does not equals to 0.

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Thus, the domain of $\"\"$ is $\"\"$ .

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$\"\"$

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

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

\

Numerator of the rational function is a radical expression.

\

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

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$\"\"$

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Thus, 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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$\"\"$

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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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$\"\"$

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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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$\"\"$ .

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