From 308a92bc237d1e7075e7ebab5d16453eb19ebebc Mon Sep 17 00:00:00 2001 From: zleyyij <75810274+zleyyij@users.noreply.github.com> Date: Mon, 7 Oct 2024 13:18:48 -0600 Subject: [PATCH] vault backup: 2024-10-07 13:18:48 --- education/math/MATH1060 (trig)/Graphing.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/education/math/MATH1060 (trig)/Graphing.md b/education/math/MATH1060 (trig)/Graphing.md index 2cf78b6..616dbf8 100644 --- a/education/math/MATH1060 (trig)/Graphing.md +++ b/education/math/MATH1060 (trig)/Graphing.md @@ -108,7 +108,10 @@ $A$, $B$, $C$, and $D$ will have similar meanings to the cosecant function as th - The vertical asymptotes of cosecant occur at $x = \frac{C}{B} + \frac{\pi}{|B|}k$, where $k$ is an integer. - The vertical shift is $D$. # Inverse Functions +For any one to one function $f(x) = y$, a function $f^{-1}(y) = x)$. A function is considered one-to-one if every input only has one output, and every output can only be created from a single input. +- The *domain* of $f$ is the *range* of $f^{-1}$. +- The *range* of $f$ is the *domain* of $f^{-1}$. # Examples > Given $-2\tan(\pi*x + \pi) - 1$