Question

5. If f:D → Rand g:D2 → R are two real functions and c ER, then
(i) fug:D, D2 → R is defined as (f #g)(x) = f (x) + g(x)
(ii) fg:Din D2 R is defined as (fg) (x) = f (x) g(x)
(ii) :D, D2 -{X: g(x) = 0} → R is defined as
f (x)
(x)
8
(iv) cf:Din D2 → R is defined as (cf) (x) = c f (x).
8
8 (x)​

Answer 1

Answer:

A set A ⊂ R of real numbers is bounded from above if there exists a real number M ∈ R, called an upper bound of A, such that x ≤ M for every x ∈ A. ... D. If sup A ∈ A, then we also denote it by max A and call it the maximum of A, and if inf ... Define f,g : [0, 1] → R by f(x)=2x, g(x)=2x + 1. Then f<g and sup. [0,1] f = 2, inf. [0,1].

Step-by-step explanation: