Lumos Video Store
This page provides a list of educational videos related to Determinants and Inverses. You can also use this page to find sample questions, apps, worksheets, lessons , infographics and presentations related to Determinants and Inverses.
Understanding inverse trig functions
By Khan Academy
Sal find the formula for the inverse function of g(x)=tan(x-3���������������/2)+6, and then determines the domain of that inverse function.
Composition of functions
By MathPlanetVideos
Find [g o h](x) and [h o g](x) when g(x)=4x+4 and h=(x/4)-1 and determine if they are inverse functions.
Inverse Functions | MathHelp.com
By MathHelp.com
In this example, we’re given a relation in the form of a chart, and we’re asked to find the inverse of the relation, then graph the relation and its inverse. To find the inverse of a relation, we simply switch the x and y values in each point. In other words, the point (1, -4) becomes (-4, 1), the point (2, 0) becomes (0, 2), the point (3, 1) becomes (1, 3), and the point (6, -1) becomes (-1, 6). Next, we’re asked to graph the relation and its inverse, so let’s first graph the relation. Notice that the relation contains the points (1, -4,), (2, 0), (3, 1), and (6, -1). And the inverse of the relation contains the points (-4, 1), (0, 2), (1, 3), and (-1, 6). Finally, it’s important to understand the following relationship between the graph of a relation and its inverse. If we draw a diagonal line through the coordinate system, which is the line that has the equation y = x, notice that the relation and its inverse are mirror images of each other in this line. In other words, the inverse of a relation is the reflection of the original relation in the line y = x.
Systems of Three Equations | MathHelp.com
By MathHelp.com
Here we’re asked to graph the following function and use the horizontal line test to determine if it has an inverse. And if so, find the inverse function and graph it. So let’s start by graphing the given function, f(x) = 2x – 4, and remember that f(x) is the same as y, so we can rewrite the function as y = 2x – 4. Now, we simply graph the line y = 2x – 4, which has a y-intercept of -4, and a slope of 2, or 2/1, so we go up 2 and over 1, plot a second point and graph our line, which we’ll call f(x). Next, we’re asked to use the horizontal line test to determine if the function has an inverse. Since there’s no way to draw a horizontal line that intersects more than one point on the function, the function does have an inverse. So we need to find the inverse and graph it. To find the inverse, we switch the x and the y in original function, y = 2x – 4, to get x = 2y – 4. Next, we solve for y, so we add 4 to both sides to get x + 4 = 2y, and divide both sides by 2 to get 1/2x + 2 = y. Next, let’s flip our equation so that y is on the left side, and we have y = 1/2x + 2. Finally, we replace y with the notation that we use for the inverse function of f, as shown here. And remember that we’re asked to graph the inverse as well, so we graph y = ½ x + 2. Our y-intercept is positive 2, and our slope is ½, so we go up one and over 2, plot a second point, graph the line, and label it as the inverse function of f. Notice that the graph of the inverse function is a reflection of the original function in the line y = x.
03 - Inverse Variation & Joint Variation - Part 1 (Hyperbolas & Inverse Square Law)
By Math and Science
Quality Math And Science Videos that feature step-by-step example problems!
15 - What is a Logarithm (Log x) Function? (Calculate Logs, Applications, Log Bases)
By Math and Science
Quality Math And Science Videos that feature step-by-step example problems!
The Simple Pendulum
By The Organic Chemistry Tutor
This physics video tutorial discusses the simple harmonic motion of a pendulum. It provides the equations that you need to calculate the period, frequency, and length of a pendulum on Earth, the Moon, or another planet. This video contains plenty of examples and practice problems.
Substitution Reactions - SN1 and SN2 Mechanisms: Crash Course Organic Chemistry #21
By Math and Science
Quality Math And Science Videos that feature step-by-step example problems!
01 - Direct Variation and Proportion in Algebra - Part 1 (Constant of Variation & More)
By Math and Science
Quality Math And Science Videos that feature step-by-step example problems!
Colligative Properties - Boiling Point Elevation, Freezing Point Depression & Osmotic Pressure
By The Organic Chemistry Tutor
This chemistry video tutorial provides a basic introduction into colligative properties such as boiling point elevation, freezing point depression, osmotic pressure, and vapor pressure. It explains how to calculate the boiling point and freezing point of a solution as well as how to calculate the molar mass of a solute using osmotic pressure and freezing point depression.
How To Solve Doppler Effect Physics Problems
By The Organic Chemistry Tutor
This physics video tutorial provides a basic introduction into the doppler effect of moving sound waves. it explains how to solve doppler effect problems in physics. Any time the source moves toward the observer or if the observer moves toward the source, the detected frequency will increase - that is - the observed frequency will be greater than the frequency emitted by the source. The source can be an ambulance truck or a police siren. If the source moves away from the observer or if the observer moves away from the source, the detected frequency will decrease. This video contains plenty of examples and practice problems of calculated the frequency detected by the observer.
Alcohols, Ethers, and Epoxides: Crash Course Organic Chemistry #24
By Math and Science
Quality Math And Science Videos that feature step-by-step example problems!