Exam 10: Compositions, Inverses, and Combinations of Functions

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Given Given    , does   ? , does Given    , does   ? ?

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Let Let    and   . Find a simplified formula for the function  and Let    and   . Find a simplified formula for the function  . Find a simplified formula for the function Let    and   . Find a simplified formula for the function

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Let Let    and   Find a simplified formula for   . and Let    and   Find a simplified formula for   . Find a simplified formula for Let    and   Find a simplified formula for   . .

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Let Let   and   . Evaluate g   . and Let   and   . Evaluate g   . . Evaluate g Let   and   . Evaluate g   . .

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Find a simplified formula for h given Find a simplified formula for h given

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The following table gives 3 functions, f, g, and h. The following table gives 3 functions, f, g, and h.    Given that f is linear, use the relationships between f, g, and h to find aformula for h:   Given that f is linear, use the relationships between f, g, and h to find aformula for h: The following table gives 3 functions, f, g, and h.    Given that f is linear, use the relationships between f, g, and h to find aformula for h:

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Is the function Is the function    invertible if the domain of f is all negative real numbers? invertible if the domain of f is all negative real numbers?

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What is the inverse of What is the inverse of   ? ?

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Is the function graphed below invertible? Is the function graphed below invertible?

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The following table gives 3 functions, f, g, and h. The following table gives 3 functions, f, g, and h.   Which of the following statements is true? Which of the following statements is true?

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Let f be defined by the following graph. Let f be defined by the following graph.   Describe the graph of  Describe the graph of Let f be defined by the following graph.   Describe the graph of

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A child building a tower with blocks places 20 blocks in the first row, 19 blocks in the second row, 18 blocks in the third row, and so forth. How many blocks are in the 11th row?

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Let Let    Find and simplify  Find and simplify Let    Find and simplify

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Let Let    be the number of men and   be the number of women residing in a certain town in year t. Let   be the average income, in dollars, of residents of that town in year t. If   and   , find a simplified formula for the total amount of money earned by all adult residents of the town in year t. be the number of men and Let    be the number of men and   be the number of women residing in a certain town in year t. Let   be the average income, in dollars, of residents of that town in year t. If   and   , find a simplified formula for the total amount of money earned by all adult residents of the town in year t. be the number of women residing in a certain town in year t. Let Let    be the number of men and   be the number of women residing in a certain town in year t. Let   be the average income, in dollars, of residents of that town in year t. If   and   , find a simplified formula for the total amount of money earned by all adult residents of the town in year t. be the average income, in dollars, of residents of that town in year t. If Let    be the number of men and   be the number of women residing in a certain town in year t. Let   be the average income, in dollars, of residents of that town in year t. If   and   , find a simplified formula for the total amount of money earned by all adult residents of the town in year t. and Let    be the number of men and   be the number of women residing in a certain town in year t. Let   be the average income, in dollars, of residents of that town in year t. If   and   , find a simplified formula for the total amount of money earned by all adult residents of the town in year t. , find a simplified formula for the total amount of money earned by all adult residents of the town in year t.

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Let Let   . Does   ? . Does Let   . Does   ? ?

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Given Given    , solve   . , solve Given    , solve   . .

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Given Given  , what is   ?, what is Given  , what is   ? ?

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Let Let  And  What is   ?And Let  And  What is   ?What is Let  And  What is   ? ?

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If If    , what is the value of C in the following tables?       , what is the value of C in the following tables? If    , what is the value of C in the following tables?       If    , what is the value of C in the following tables?       If    , what is the value of C in the following tables?

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Given Given  And   , what is g(f(x)?And Given  And   , what is g(f(x)? , what is g(f(x)?

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