Author Information
Operations on Functions
The joy of operations on functions
The best part of Algebra to do
The process of this wonderful concept
I will explain to you
The main part here,
please hold it dear,
is to know that functions, f+g have the same, all real number domain
The operation doesn't matter
Such information warms my brain
That functions can be combined using composition of functions
Truly a complex web of wonders!
In a composition, a regular function is preformed
but lo! A second function is preformed on the result of the first function
Such combinations are shown as F o G, or G o F
So, you must solve for G, and then plug into F, or solve F, and plug into G
And lets not forget inverse functions
One must simply remember that our friends, F+G,
are inverse if F o G(X)=X and G o F(X)=X for all values of X in F+G's domain
There, the mysteries of operations on functions explained
Preforming them is a pleasure, not a pain
