Secondary Catalogue

Series: Manipulating Functions

Combinations of Functions

In this video we'll learn how to use the zero theorem to find the roots of a quadratic equation. The zero theorem tells us we can factor the quadratic equation, and then as long as the right-hand side of the equation is equal to zero, set each of...Show More

Composite Functions

Learn how to calculate the composite of three functions, f(x), g(x) and h(x) by plugging h(x) into g(x) and then your result into f(x).

Composite Functions and Their Domain

Learn how to calculate the compositions of two functions, including f(g(x)), g(f(x)), f(f(x)), and g(g(x)). Then describe the domain of each composite function.

Finding a Function from Its Inverse

Given a linear inverse function, we can find the original function by swapping the x and y coordinates in two points along the line. The result will be two new points that lie along the original linear function.

Horizontal Line Test

Learn to use the horizontal line test to determine whether or not a function is 1-to-1.

Inverse Functions

The inverse of a function is the result of swapping x with y and y with x. In other words, given some function y=f(x), its inverse will be x=f(y). We get the inverse when we replace all x variables in the equation with y, and all the y's with...Show More