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# Inverse Functions

### Math 113 Online Study Stack

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

Determine whether the function is a one-to-one function: f={(-6,-6),(9,9),(7,1),(1,7)} | Yes, the function is a one-to-one function. |

Determine whether the function is a one-to-one function: f(x)=(x-3)/(x+2) | Yes, the function is a one-to-one function. |

Determine whether the function is a one-to-one function: f={(13,14),(2,1),(1,2),(4,4)} | Yes, the function is a one-to-one function. |

Given the one-to-one function f(x)=x^3+4 find the following: f(1) | f(1)=5 |

Given the one-to-one function f(x)=x^3+3 find the following: f(-3) | f(-3)=-24 |

Given the one-to-one function f(x)=x^3+4 find the following: f^-1(5) | f^-1(5)=1 |

Find the inverse of the following one-to-one function: f(x)=2x-5 | f^-1(x)=(x+5)/2 |

Find the inverse of the following one-to-one function: f(x)=1/2x-3 | f^-1(x)=2x+6 |

Find the inverse of the following one-to-one function: f(x)=(x-3)/4 | f^-1(x)=4x+3 |

Given the one-to-one function f(x)=x^3+3 find the following: f^-1(-24) | f^-1(-24)=-3 |

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