Search over 10,000 free study notes

So you are asked to find the inverse of a function f(x).
The inverse function is denoted by f ^-1(x).
To help with this we can use the identity f(f ^-1(x))=x.
Now,...

An arithmetic sequence has a constant difference between each term.
For example: 2,4,6,8,10,12,…
We can see clearly that all the terms differ by +2.
We call this the common difference...

The quotient rule is a formula used to differentiate fractions that contain terms of x in both the numerator and the denominator (we usually refer to this as f(x)/g(x)).
As it isn't possible to diffe...

Sorry in advance for the lack of a diagram, which would have made this explanation so much clearer. Also, the published version of this seems to ignore Unicode formatting, so I will add underscores (_)...

Factorising is the process of putting brackets into an equation. Ideally the end equation should be as simple as possible, with the smallest numbers possible.

The first step is to find th...