I’m doing something that I should have done a long time ago: collect past series of posts into a single, easy-to-reference post. The following posts formed my series on the different definitions on inverse functions that appear in Precalculus and Calculus.

Square Roots, nth Roots, and Rational Exponents

Part 1 : Simplifying

Part 2 : The difference between and solving

Part 3 : Definition of an inverse function and the horizontal line test

Part 4 : Why extraneous solutions may occur when solving algebra problems involving a square root

Part 5 : Defining

Part 6 : Consequences of the definition of : simplifying

Part 7 : Defining if is odd or even

Part 8 : Rational exponents if the denominator of the exponent is odd or even

Arcsine

Part 9 : There are infinitely many solutions to

Part 10 : Defining arcsine with domain

Part 11 : Pedagogical thoughts on teaching arcsine.

Part 12 : Solving SSA triangles: impossible case

Part 13 : Solving SSA triangles: one way of getting a unique solution

Part 14 : Solving SSA triangles: another way of getting a unique solution

Part 15 : Solving SSA triangles: continuation of Part 14

Part 16 : Solving SSA triangles: ambiguous case of two solutions

Part 17 : Summary of rules for solving SSA triangles

Arccosine

Part 18 : Definition for arccosine with domain

Part 19 : The Law of Cosines and solving SSS triangles

Part 20 : Identifying impossible triangles with the Law of Cosines

Part 21 : The Law of Cosines provides an unambiguous angle, unlike the Law of Sines

Part 22 : Finding the angle between two vectors

Part 23 : A proof for why the formula in Part 22 works

Arctangent

Part 18 : Definition for arctangent with domain

Part 24 : Finding the angle between two lines

Part 25 : A proof for why the formula in Part 24 works.

Arcsecant

Part 26 : Defining arcsecant using

Part 27 : Issues that arise in calculus using the domain

Part 28 : More issues that arise in calculus using the domain

Part 29 : Defining arcsecant using

Logarithm

Part 30 : Logarithms and complex numbers

Like this: Like Loading...

Related

Published by John Quintanilla
I'm a Professor of Mathematics and a University Distinguished Teaching Professor at the University of North Texas. For eight years, I was co-director of Teach North Texas, UNT's program for preparing secondary teachers of mathematics and science.
View all posts by John Quintanilla

Published
February 21, 2015 February 22, 2015

## 5 thoughts on “Inverse Functions: Index”