Q. 25.0( 2 Votes )

# Construct the composition table for + _{5} on set S = {0, 1, 2, 3, 4}

Answer :

A composition table consists of elements which are a result of operation on the set elements.

Here we have the operation, a + _{5} b = remainder of a + b divided by 5 where a, b S.

This is the composition table of x_{4} on S = {0, 1, 2, 3, 4}

For example, take 3 + _{5} 2 = remainder of (3 + 2) divided by 5

We also see that the operation + _{5} is valid because all the output elements belong to the set S.

Rate this question :

Let f :R → R be given by f (x) = tan x. Then f^{–1} (1) is

| Let * be a binary operation on Q defined by

Show that * is commutative as well as associative. Also find its identity elements, if it exists.

Mathematics - Board PapersFind the identity element in the set Q + of all positive rational numbers for the operation * defined by for all a, b ∈ Q +.

Mathematics - Board PapersLet f : A → B and g : B → C be the bijective functions. Then (g o f)^{–1} is