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# inverse functions

### a man, a plan, a function. inverted.

Question | Answer |
---|---|

Is f={(6,2),(5,4),(-1,0),(7,3)} a one to one function? | Yes, because every y-value (2,4,0,3) corresponds to just one x-value (6,5,-1,7). |

Is g={(3,9),(-4,2),(-3,9),(0,0)} a one to one function? | No, because 9, one of the y values, corresponds with two x values, both 3 and -3. |

How does one find the inverse of f={(6,2),(5,4),(-1,0),(7,3)}? | By switching all of the x and y variables, and writing f as f^-1 to show that it has been inverted. so: f^-1={(2,6),(4,5),(0,-1),(3,7)} |

Find an equation of the inverse of f(x)=x+3 | First, replace f(x) with y, then interchange the two, then subtract 3 from the y side, solving for y. Answer: f^-1(x)=x-3 |

Find the equation of the inverse of f(x)= 3x-5 then graph both equations. | f(x)= 3x-5 inverted becomes f^-1(x)=x/3+5/3. Plot the points of each and they should be symmetrical about the line x=y |

Created by:
seanhogan