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28 lis 2020 · Converse, Inverse, and Contrapositive. Consider the statement: If the weather is nice, then I’ll wash the car. We can rewrite this statement using letters to represent the hypothesis and conclusion. \(p=the\: weather \:is \:nice \qquad q=I'll \:wash \:the \:car\)
Inverse is a statement formed by negating the hypothesis and conclusion of the original conditional. Symbolically, the inverse is written as (~p ⇒ ~q) Example : Right angle is defined as- an angle whose measure is 90 degrees.
Sal explains what inverse functions are. Then he explains how to algebraically find the inverse of a function and looks at the graphical relationship between inverse functions.
What is the Inverse of a function? If the function itself is considered a "DO" action, then the inverse is the "UNDO". What about the domain and Range? Definition: The inverse of a function is when the domain and the range trade places. All elements of the domain become the range, and all elements of the range become the domain.
We can find an inverse by reversing the "flow diagram" Or we can find an inverse by using Algebra: Put "y" for "f(x)", and; Solve for x; We may need to restrict the domain for the function to have an inverse
To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.
The inverse function $f^{-1}$ undoes the action performed by the function f. We read $f^{-1}$ as “f inverse.” If $f^{-1}$ is an inverse of the function f, then f is an inverse function of $f^{-1}$. Thus, we can say that f and $f^{-1}$ reverse each other.
