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Question 3 • Math 3

The function h of x is given. h of x is equal to open paren 3 comma negative 5 close paren comma open paren 5 comma negative 7 close paren comma open paren 6 comma negative 9 close paren comma open paren 10 comma negative 12 close paren comma open paren 12 comma negative 16 close paren Which of the following gives h inverse of x ?

Answer
A
start set open paren negative 5 comma 3 close paren comma open paren negative 7 comma 5 close paren comma open paren negative 9 comma 6 close paren comma open paren negative 12 comma 10 close paren comma open paren negative 16 comma 12 close paren end set
B
start set open paren 3 comma negative 5 close paren comma open paren 5 comma negative 7 close paren comma open paren 6 comma negative 9 close paren comma open paren 10 comma negative 12 close paren comma open paren 12 comma negative 16 close paren end set
C
start set open paren 3 comma 5 close paren comma open paren 5 comma 7 close paren comma open paren 6 comma 9 close paren comma open paren 10 comma 12 close paren comma open paren 12 comma 16 close paren end set
D
start set open paren 5 comma 3 close paren comma open paren 7 comma 5 close paren comma open paren 9 comma 6 close paren comma open paren 12 comma 10 close paren comma open paren 16 comma 12 close paren end set

Explanation

To find the inverse of a function, switch the x- and y-coordinates in each ordered pair. For example, (3, −5) becomes (−5, 3), and (5, −7) becomes (−7, 5). Reversing all the pairs gives choice A.

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