What is the natural meaning for a pair to be in this new relation,t e Definition

Question

What is the natural meaning for a pair to be in this new relation,t e Definition-Composition of relations Given relation R from A to B and relation S from 8 to C, there is a relation S- R from A to C such that xz) e S Rmeans that there is a value y B such that (y) R and (ya) e s The new relation is called the composition of's with R and S R is read as "s of Activity 20- Properties of Functions Name: LEARNING OBJECTIVES: Know the meaning of a Inversible functions b. "onto and "one-to-one 2. improve teamwork skills by including all group members and soliciting input from less vocal Model I (20min) Inverse of Function 2 3 Explore the model 1. What is the domain for the function f? The codomain? 2. What is the domain for the function g? How is the domain of function g related to the codomain of function 1? page 1

Explanation / Answer

1.

The domain of a function is the set of numbers that can go in to a given function.

Thus, the domain of f={a, b, c, x, y, z}.

Co-domain of a function refers to set of numbers that may possibly come out of a function.

Thus, the codomain of f={1, 2, 3, 4, 5, 6}.

2.

The domain of function g= { 1, 2, 3, 4, 5, 6}.

The domain of the function g is same as codomain of f. Such kind of relation between two function leads to the composition of two function f and g (denoted as f*g).

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