Curated Video
Finding the Inverse Function of a Composite Function
This video shows the process for solving the problem presented in IGCSE A June 2018 paper 1HR Q20, which involves finding the inverse function of a composite function. Students will learn how to find the inverse function of a composite...
Curated Video
Pythagoras and Trigonometry: The Sine and Cosine Rules
This video shows the process for solving the problem presented in IGCSE A June 2018 paper 2H Q18, which involves using the sin and cosine rule. Students will understand the Law of Cosines and its application in solving for the largest...
KnowMo
Introduction to Functions and Composite Functions
This video is a lesson on functions in mathematics. The speaker explains how functions can be thought of as machines that process inputs and produce outputs. They demonstrate how to use algebraic expressions to represent functions and...
Brian McLogan
Learn how to find the values that are not defined for the expression
👉 Learn how to find the domain of a radical function. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a radical square-root function, there cannot be a negative number inside the...
Brian McLogan
Learn How to Take the Inverse of Cosine to Evaluate
👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Brian McLogan
How to find the inverse of a quadratic that is a function
👉 Learn how to find the inverse of a quadratic function. A quadratic function is a function whose highest exponent in the variable(s) of the function is 2. The inverse of a function is a function that reverses the "effect" of the...
Brian McLogan
How to find and graph the inverse of a linear function
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Brian McLogan
Solve Trigonometric Equations | Analytic Trig | Pre-Calculus
In this video we will explore how to solve trigonometric equations. We will work on isolating the trigonometric function using inverse operations, factoring and identities. We will then solve on the unit circle, all solutions and...
Brian McLogan
How to find the inverse of a linear function
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
msvgo
Graph of Inverse Functions
It discusses the plotting of the graph of inverse function. Further it shows the deduction of principal branches of the inverse functions.
Brian McLogan
Evaluate the derivative of the inverse function
👉 Learn how to find the derivative of the inverse of a function. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a...
Brian McLogan
Finding the Inverse of the Sine Function
👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Brian McLogan
Using trig properties to find the values of a right triangle
👉 Learn how to find a missing angle of a right triangle. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles gives us the relationship between the angles of a right...
Professor Dave Explains
Inverse Trigonometric Functions
An explanation of inverse trigonometric functions.
KnowMo
Introduction to Functions
This video provides an introduction to the concept of functions in mathematics. The lecturer compares functions to machines that take an input, apply a specific rule or operation, and give an output. The video also provides examples of...
Professor Dave Explains
Logarithms Part 1: Evaluation of Logs and Graphing Logarithmic Functions
An introduction to logarithms.
Curated Video
Introduction to Evaluating Logarithms Using Exponentials
In this video, the teacher explains the concept of inverses in functions and focuses on exponential and logarithmic functions. They discuss how the x and y values switch in inverse functions and demonstrate the reflection of graphs over...
Khan Academy
Khan Academy: Linear Algebra: Introduction to the Inverse of a Function
Video first reviews what a function is. Explains what the identity function is and uses it to define what makes a function invertible. Shows that the inverse will be unique. This video also appears in the strand Algebra: Functions. [18:53]
Khan Academy
Khan Academy: Linear Algebra: Determining Whether a Transformation Is Onto
Video reviews from previous videos that a function is invertible if and only if it is onto and one-to-one. Shows how to determine if a linear transformation is onto by showing that the columns of the transformation matrix span the...
Khan Academy
Khan Academy: Linear Algebra: Relating Invertibility to Onto and One to One
Video first reviews that a function is invertible if and only if there is a unique solution to f(x) = y for any y. Extends this to show that a function is invertible if and only if it is surjective (onto) and injective (one-to-one). [6:31]
Khan Academy
Khan Academy: Linear Algebra: Invertibility Implies a Unique Solution to F(x)=y
Video first reviews what it means for a function to be invertible. Shows that if a function is invertible then there is a unique solution to f(x) = y. Also shows that if there is a unique solution to the equation f(x) = y for all y then...
Sophia Learning
Sophia: Finding the Inverse of a Function: Lesson 11
This lesson will describe how to find the inverse of a function by solving for x in terms of y and then switching x and y. It is 11 of 12 in the series titled "Finding the Inverse of a Function."
Sophia Learning
Sophia: Finding the Inverse of a Function: Lesson 6
This lesson will describe how to find the inverse of a function by solving for x in terms of y and then switching x and y. It is 6 of 12 in the series titled "Finding the Inverse of a Function."