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chapter 7 vocabulary

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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  
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index   the interger n(greater than 1) in the expression ^n√a  
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simplest form   A radical expression after you apply the properties of radicals, remove any perfect nth powers and rationalize any denominators  
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like radicals   two radical expressions that have the same index and the same radicand  
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power function   a function of the form y=ax^b where a is a real number and b is a rational number  
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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  
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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  
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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))  
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radical function   A function that contains a radical, such as y=√x or y=^3√x  
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extraneous solution   a solution of a transformed equation that is not a valid solution of the original equation  
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