From 802a064cc0fa9e2e04368bf9a6b0fc73f829a5a7 Mon Sep 17 00:00:00 2001 From: zleyyij Date: Mon, 18 Dec 2023 10:12:15 -0700 Subject: [PATCH] vault backup: 2023-12-18 10:12:15 --- education/math/Inverse Functions.md | 9 ++++++++- 1 file changed, 8 insertions(+), 1 deletion(-) diff --git a/education/math/Inverse Functions.md b/education/math/Inverse Functions.md index bf9e23b..13dc21a 100644 --- a/education/math/Inverse Functions.md +++ b/education/math/Inverse Functions.md @@ -1 +1,8 @@ -For a function to have an inverse, it needs to have one $x$ for every $y$, and vice versa. You can use the horizontal line test to verify that the inverse of a function is valid. If you can draw a horizontal line and it crosses through two points at the same time at any height, the inverse is not a valid function. \ No newline at end of file +For a function to have an inverse, it needs to have one $x$ for every $y$, and vice versa. You can use the horizontal line test to verify that the inverse of a function is valid. If you can draw a horizontal line and it crosses through two points at the same time at any height, the inverse is not a valid function. To get the inverse, you can switch the x and y of a function, and it will mirror the graph over the line $y = x$. + +# Examles +Given the below function: +$$ y = \frac{1}{2}x + 3 $$ +You can find the inverse by switching the $x$ and $y$ values and solving for $y$: +$$ x = \frac{1}{2}y + 3 $$ +The range of the inver \ No newline at end of file