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Compositions and inverses of functions | Khan Academy
This unit explores how functions interact through composition and inversion. You'll learn how to find and represent inverse functions, restrict domains to ensure functionality, and use compositions to verify …
Intro to inverse functions (article) | Khan Academy
Learn what the inverse of a function is, and how to evaluate inverses of functions that are given in tables or graphs.
Evaluate inverse functions (practice) | Khan Academy
Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.
Reading inverse values from a graph (video) | Khan Academy
Learn how to find the inverse of a function and how to graph it in this video. The inverse function swaps the x and y values of the original function, and the graph of this inverse function is a reflection of the …
Graphing the inverse of a linear function (video) | Khan Academy
By starting out with a function, you know it passes the vertical line test by definition. However, for its inverse to be a function, it also has to pass the horizontal line test to insure the one-to-one …
Functions | Operations and Algebraic Thinking 231 ... - Khan Academy
In this unit, we learn about functions, which are mathematical entities that assign unique outputs to given inputs. We'll evaluate, graph, analyze, and create various types of functions.
Inputs & outputs of inverse functions (video) | Khan Academy
This explanation is so much clearer than the intro to inverse functions. The key here is the tables, and that the roles of x and y are reversed. That explains why the inverse graph does not overlay the …
Inverse trigonometric functions | KA Math Class 12 | Khan Academy
Intro to arccosine Domain and range of inverse functions Graph of sine inverse function Principal value of inverse functions Evaluating ITF expressions Evaluating inverse (angle outside principal branch)
Determining if a function is invertible (video) | Khan Academy
Learn how to build a mapping diagram for a finite function, and how to use this diagram to determine if the function is invertible. An invertible function has a one-to-one mapping between its domain and …