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(a)

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The equation $\"\"$ .

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Write the above equation in function notation.

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$\"\"$ .

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Mass of the object $\"\"$ kg.

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

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$\"\"$ .

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(b)

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The value of $\"\"$ must be greater than zero.

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If $\"\"$ , then $\"\"$ , which is undefined.

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If $\"\"$ , then $\"\"$ .

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The speed of the object cannot be equal to zero or negative, If it is, then wavelength is negative or the function is undefined.

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(c)

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If the object is traveling $\"\"$ meters per second.

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

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$\"\"$

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$\"\"$ .

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(d)

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One way to write $\"\"$ as a composition of two functions is to let $\"\"$ and $\"\"$ .

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Find $\"\"$ .

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$\"\"$

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Replace $\"\"$ with $\"\"$ .

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$\"\"$

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

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$\"\"$

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$\"\"$ .

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(a) $\"\"$ .

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(b) The value of $\"\"$ must be greater than zero.The speed of the object cannot be equal to zero or negative, If it is, then wavelength is negative or the function is undefined.

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(c) $\"\"$ .

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(d) The two functions are $\"\"$ and $\"\"$ .