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anonymous
 one year ago
Let f(x)=1/x and g(x)= x^22x. What two numbers are not in the domain of fog?
anonymous
 one year ago
Let f(x)=1/x and g(x)= x^22x. What two numbers are not in the domain of fog?

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ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Clearly g(x) = x^22x has no restrictions, so simply find the restrictions of f(g(x)) = f(x^22x) = 1/(x^22x)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2\[f(g(x))=\dfrac{1}{x^22x}\] what values of \(x\) make that expression go crazy ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, is 0 one of them? @ganeshie8

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2Yes, simply set the bottom equal to 0 and solve x : \[x^22x=0\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@ganeshie8 x= 2? so it would be 0,4?

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2\(x^22x=0 \) \(x(x2)=0\) \(x=0\) or \(x2=0\) that gives you \(x~=~0, ~~2\)

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.2\(0, 2\) are the two numbers that must be excluded from the domain of fog

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.2Usually when I set it up for the domain I write it as \[x^22x \neq 0\] then solve for x, then you know you are looking for the restrictions. That's just a quick tip for rational functions :P
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