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

by Euphoriet
Tags: solve, weird
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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?
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?
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Oct28-04, 02:36 AM
P: 97
nvm i got it now.. the answer is yest
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.

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