Step 1:

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

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The domain of $\"\"$ is set of all real numbers.

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The domain of $\"\"$ is set of all real numbers.

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(a) find $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ ( Since $\"\"$ )

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$\"\"$

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The domain of the inside function $\"\"$ is $\"\"$ .

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The composite function has no restrictions, so all possible values of $\"\"$ is domain of the function.

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

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Step 2:

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(b) find $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The domain of the inside function $\"\"$ is $\"\"$ .

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The composite function has no restrictions, so all possible values of $\"\"$ is domain of the function.

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

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Step 3:

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(c) find $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The domain of the inside function $\"\"$ is $\"\"$ .

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The composite function has no restrictions, so all possible values of $\"\"$ is domain of the function.

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

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Step 4:

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(d) find $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The domain of the inside function $\"\"$ is $\"\"$ .

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The composite function has no restrictions, so all possible values of $\"\"$ is domain of the function.

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

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Solutions :

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(a) $\"\"$ and its domain is $\"\"$ .

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(b) $\"\"$ and its domain is $\"\"$ .

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(c) $\"\"$ and its domain is $\"\"$ .

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(d) $\"\"$ and its domain is $\"\"$ .