$\"\"$

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(a)

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

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Find $\"\"$ .

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Definition of composite function : $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Domain of radical functions is $\"\"$ .

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$\"\"$

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Domain of the composite function $\"\"$ is $\"\"$ .

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$\"\"$

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(b)

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Find $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Since domain of radical functions is $\"\"$ , $\"\"$ .

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Domain of the composite function $\"\"$ is $\"\"$ .

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$\"\"$

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(c)

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Find $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Since domain of radical functions is $\"\"$ , $\"\"$ .

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Domain of the composite function $\"\"$ is $\"\"$ .

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$\"\"$

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(d)

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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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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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$\"\"$

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(a) Domain of the composite function $\"\"$ is $\"\"$ .

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(b) Domain of the composite function $\"\"$ is $\"\"$ .

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(c) Domain of the composite function $\"\"$ is $\"\"$ .

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(d) Domain of $\"\"$ is $\"\"$ .