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# Module 22-Algebra

### Inverse Fractions

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

Determine whether the following function is a one-to-one function. If so, list the inverse function by switching coordinates. f={(-6,-6),(5,5),(2,0),(0,2)} | ~One-to-one function? Yes ~f^-1= {(-6,-6),(5,5),(0,2),(2,0)} |

Given the one-to-one function f(x)=x^3+4, what are the following values? a.) f(-3) b.)f^-1(-23) | a.) f(-3)=-23 b.)f^-1(-23)=-3 |

Determine whether the following function is a one-to-one function. If so, switch inputs and outputs. Month of 2003 Jan. Feb. March. April (Input) Unemployment Rate in % 5.5 5.5 5.1 5.1 (Output) | 1.) One-to-one function? No 2.) No inverse, no inverse, no inverse, no inverse |

Find the inverse of the one-to-one function. f(x)=(x+1)^3 | f^-1(x)=3^√(x)-1 |

Find the inverse of the one-to-one function. f(x)= 1/3x-9 | f^-1(x)=1+9x/3x |

Find the inverse of the function, then graph the function and its inverse one the same set of axes. f(x)=2x-3 | 1.) f^-1(x)=x+3/2 2.) f(x)=2x-3 f^-1(x)= x+3/2 x / y x / y -1 -5 -1 .5 0 -3 0 1.5 1 -1 2 3 |

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