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# Algebra two honors 7

### chapter 7 vocabulary

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

nth root of a | for an interger n greater than1, if b^n=a then b is an nth root of a written as ^n√a |

index | the interger n(greater than 1) in the expression ^n√a |

simplest form | A radical expression after you apply the properties of radicals, remove any perfect nth powers and rationalize any denominators |

like radicals | two radical expressions that have the same index and the same radicand |

power function | a function of the form y=ax^b where a is a real number and b is a rational number |

composition | the composition of the function f with the function g is h(x)=f(g(x)) The domain of h is the set of all x-values such that x is the domain of g and g(x) is in the domain of f |

inverse relation | a relation that maps the output values of an original input values. The graph of an inverse relation is the reflection of the graph of the original relation, with y=x as the line of reflection |

inverse function | A relation and its inverse relation whenever both relations are functions. Functions f and g are inverses of each other provided f(g(x)) and g(f(x)) |

radical function | A function that contains a radical, such as y=√x or y=^3√x |

extraneous solution | a solution of a transformed equation that is not a valid solution of the original equation |

Created by:
haileyericamartin