Composition of Functions

Let A be a non-empty set and S be the set of all functions from A to itself. Prove that the composition of functions 'o' is a non-commutative binary operation on Sdot Also, prove that 'o' is an associative binary operation on Sdot

Construct the composition table for the composition of functions (o) defined on the S={f_1,\ f_2,\ f_3,\ f_4} of four functions from C (the set of all complex numbers) to itself, defined by f_1(z)=z ,\ \ f_2(z)=-z ,\ \ f_3(z)=1/z ,\ \ f_4(z)=-1/z for all z in Cdot

The composition of functtions is associative

The composition of function is commutative.

State the composition and functional diffrences between DNA and RNA. Describe the mechanism of replication of DNA.

What is the composition of the biogas?

What is the composition of London smog ?

Composition of semen is

State: The composition of Biogas.