$\"\"$

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(a)

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Yes,the function g is one - to - one.

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Because each European shoe size corresponds to exactly one U.S. shoe size.

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Yes, each European shoe size corresponds to exactly one U.S. shoe size.

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$\"\"$

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(b)

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The each U.S. shoe size 6 corresponds to exactly European shoe size 38.

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So, g(6) = 38.

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The value of g(6) = 38.

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(c)

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The each European shoe size 42 corresponds to exactly U.S. shoe size 9.

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So, $\"\"$ .

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The value of $\"\"$ .

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$\"\"$

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(d)

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The function $\"\"$ .

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The each European shoe size 39 corresponds to exactly U.S. shoe size 7.

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Since, $\"\"$ then $\"\"$ .

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The each U.S. shoe size 7 corresponds to exactly European shoe size 39.

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Since, $\"\"$ then $\"\"$ .

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The value of $\"\"$ .

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$\"\"$

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(e)

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The function $\"\"$ .

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The each U.S. shoe size 5 corresponds to exactly European shoe size 37.

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Since $\"\"$ then $\"\"$ .

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The each European shoe size 37 corresponds to exactly U.S. shoe size 5.

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Since, $\"\"$ then $\"\"$ .

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The value of $\"\"$ . $\"\"$

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(a)

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Yes, the function g is one - to - one.

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(b)

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The value of g(6) = 38.

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(c)

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The value of $\"\"$ .

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(d)

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The value of $\"\"$ .

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(e)

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The value of $\"\"$ .