Operations on Functions

operation on functions

let f and h be two functions:

A. their sum, f and h,is defined as:

(f + h)(x) = f(x) + h(x)

the domain of f + h consists of the number x that are in the domain of f and in the domain of h.

B. their difference, f - h,is defined as:

(f - h)(x) = f(x) - h(x)

the domain of f - h consists of the numbers x that are in the domain f and in the domain of h.

C. Their product,(f) * (h), is defined as:

(f * h)(x) = f(x) * h(x)

the domain of f * h consists of numbers x that are in the domain of f and in the domain of h.

D. their quotient, f / h, is defined as:

(f / h)(x) = f(x)/h(x), h(x) is not = O

thee domain of f / h consisits of the number x for which h(x) is not = 0 that are in the domain of f and the domain of h.