Solve this weird f(g(x)) and g(f(x))


by Euphoriet
Tags: solve, weird
Euphoriet
Euphoriet is offline
#1
Oct28-04, 02:21 AM
P: 97
Can you solve such a thing as:
f(g(x)) and g(f(x))

Let f(x) = sqr (4-x)
D=x < or = to 4 right?
and
also Let g(x) = sqr(x-3)

D = x > or = to 3

Can you solve such a thing.. if so how.. if not why not?
Phys.Org News Partner Mathematics news on Phys.org
Math modeling handbook now available
Hyperbolic homogeneous polynomials, oh my!
Researchers help Boston Marathon organizers plan for 2014 race
Euphoriet
Euphoriet is offline
#2
Oct28-04, 02:36 AM
P: 97
nvm i got it now.. the answer is yest
T@P
T@P is offline
#3
Oct28-04, 09:12 AM
P: 270
the composition of functions F(G(x)) can be done like this: find G(x) in terms of x, then pretend your result is like 'x' and plug it into F(x) . ultimately the domain and range of your function will change since the new function F(G(x)) will be a totally new function, there may be cases when it is impossible to find F(G(x)).

for example, of F(x) = [tex] - \mid x \mid[/tex] and G(x) = [tex] \sqrt{x}[/tex] in that case you would always have the square root of a negative number, but i dont think that is the case in your question.


Register to reply

Related Discussions
how do you solve problem you cannot solve? Academic Guidance 16
Fraction of a fraction General Math 16
Weird sat General Math 11