 # 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