Function Inverses — Quiz

Question 1

Which function is the inverse of f of x is equal to 2 x plus 3 ?

Revolt · Accepted Answer

f inverse of x is equal to 1 half x minus 3 halves

Question 2

Which function has an inverse that is also a function?

Revolt · Accepted Answer

start set open paren negative 4 comma 3 close paren comma open paren negative 2 comma 7 close paren comma open paren negative 1 comma 0 close paren comma open paren 4 comma negative 3 close paren comma open paren 11 comma negative 7 close paren end set

Question 3

If f of x and g of x are inverse functions of each other, which of the following shows the graph of f of g of x ?

Revolt · Accepted Answer

Image with description On a coordinate plane with x and y axes marked from negative 5 to 5, a straight line has a positive slope and goes through (negative 3, negative 3), (0, 0), and (3, 3).

Question 4

If f of x and f inverse of x are inverse functions of each other and f of x is equal to 2 x plus 5 , what is f inverse of 8 ?

Revolt · Accepted Answer

3 halves

Question 5

If f of x is equal to 3 x and g of x is equal to 1 third x , which expression could be used to verify that g of x is the inverse of f of x ?

Revolt · Accepted Answer

1 third times 3 x

Question 6

Which statement verifies that f of x and g of x are inverses of each other?

Revolt · Accepted Answer

f of g of x is equal to x and g of f of x is equal to x

Question 7

The function f⁡(x) is shown. x f of x negative 6 1 negative 3 2 2 5 5 3 8 0 If g of x is the inverse of f of x , what is the value of f of g of 2 ?

Revolt · Accepted Answer

2

Question 8

If f of x is equal to 5 x , what is f inverse of x ?

Revolt · Accepted Answer

f inverse of x is equal to 1 fifth x

Question 9

The function h⁡(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 ?

Revolt · Accepted Answer

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

Question 10

If f of x is equal to 5 x minus 25 and g of x is equal to 1 fifth x plus 5 , which expression could be used to verify g of x is the inverse of f of x ?

Revolt · Accepted Answer

1 fifth times open paren 5 x minus 25 close paren plus 5

Function Inverses — Quiz Answers

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