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Solve this weird f(g(x)) and g(f(x)) 
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#1
Oct2804, 02:21 AM

P: 97

Can you solve such a thing as:
f(g(x)) and g(f(x)) Let f(x) = sqr (4x) D=x < or = to 4 right? and also Let g(x) = sqr(x3) D = x > or = to 3 Can you solve such a thing.. if so how.. if not why not? 


#2
Oct2804, 02:36 AM

P: 97

nvm i got it now.. the answer is yest



#3
Oct2804, 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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