AlizaHasgill533 AlizaHasgill533

27-04-2014
Mathematics

Answered

Functions f(x) and g(x) are both increasing. In addition, the range of g is in domain of f. Prove that composite function f(g(x)) is increasing

Answer :

crisforp crisforp

27-04-2014

f: D -> E;
g: F -> G, where, g(F) is in D;

Let be x1, x2 ∈ F, with x1 < x2;
But, g(x1) < g(x2), because g is increasing; => f(g(x1) < f(g(x2) , because f is increasing =>
f(g(x) is increasing.

Answer Link

Other Questions

Select all of the answers that apply Which of the following are ways the atmosphere supports life contains trace gases blocks harmful UV rays transports and dis

intersecting circles have how many common tangents

Let p be the number of points the tigers scored The lions scored double the number of points the tigers scored Write an expression for the number of points the

The atomic mass of an element is 3207 u and its atomic number is 16 The element forms a simple ion The ion will most likely have a charge of A 1 B 2 C 3 D 1

What role did the press play in rallying America support for a war in Cuba

What are the 3 purposes of the democratic constitution

nate had 26 hits at 50 times at bat lesson write a ratio to compare the number of hits to the numberof times at bat also simplify

what is the answer snd steps to 4547g

pls help me with this 113 and 114 u press the link below

18 16k2415 210k