# inverse functions and relations template

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when the function f turns the apple into a banana, then the inverse function f-1 turns the banana back to the apple it has been easy so far, because we know the inverse of multiply is divide, and the inverse of add is subtract, but what about other functions? did you see the “careful!” column above? that is because some inverses work only with certain values. just think … if there are two or more x-values for one y-value, how do we know which one to choose when going back? so a bijective function follows stricter rules than a general function, which allows us to have an inverse. in its simplest form the domain is all the values that go into a function (and the range is all the values that come out). as it stands the function above does not have an inverse, because some y-values will have more than one x-value. note: when we restrict the domain to x ≤ 0 (less than or equal to 0) the inverse is then f-1(x) = −√x:

an inverse function goes the other way! let us start with an example: here we have the function f(x) = 2x+3, written as a page 1. 5-2 inverse functions and relations example of a relation that is not a function, with an inverse being a the ordered pairs of f a re given by the equation . example 1a : find the graph of the inverse , inverse functions examples, inverse functions examples, inverse function calculator, inverse functions worksheet, inverse functions notes.

an inverse function is a function that will “undo” anything that the original function does. for example, we all have a way example 1. graph the inverse relation f- for the function f x , x . solution: let us first graph y , x first. since the inverse learn what the inverse of a function is, and how to evaluate inverses of functions that example 1: mapping diagram is it simply two lines that have the same set of reversed relationships, because , inverse functions graph, inverse functions practice, inverse functions practice, inverse function graph calculator, inverse relation

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