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anonymous
 one year ago
WILL BECOME FAN AND AWARD MEDAL!!! Make up any two functions f(x) and g(x), defined in terms of the variable x. For example, you might define f(x) = x – 15 and g(x) = 3x2. (Use different examples.) Then provide the compositions of the two functions f(g(x)) and g(f(x)). Which composite function has the greatest value for x = 10? Remember no right answer exists. Your answer completely depends on the functions you select.
anonymous
 one year ago
WILL BECOME FAN AND AWARD MEDAL!!! Make up any two functions f(x) and g(x), defined in terms of the variable x. For example, you might define f(x) = x – 15 and g(x) = 3x2. (Use different examples.) Then provide the compositions of the two functions f(g(x)) and g(f(x)). Which composite function has the greatest value for x = 10? Remember no right answer exists. Your answer completely depends on the functions you select.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0did you pick two functions?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0go ahead and make two up they can be anything, but you don't want to make them too hard, so stick with something simple

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0once you have them we can do this easy

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(x)= x+7 and g(x)= 1/x+7 were the functions I thought to use for this.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=x+7,g(x)=\frac{1}{x+7}\] like that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0or was \(g(x)=\frac{1}{x}+7\) either way we can do it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the second one was how I meant to put the second function. sorry ^.^"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok brave to use a denominator but no problem lets compute \[f(g(x))\] first

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0always work from the inside out \[f(g(x))=f(\frac{1}{x}+7)\] is a fist step

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then since \(f9\heartsuit)=\heartsuit +7\) you have ' \[f(\frac{1}{x}+7)=\frac{1}{x}+7+7\] or more simply \[\frac{1}{x}+14\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=x+7\] and \[g(x)= \frac{ 1}{ x } +7\] this is how they should look

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that makes \[f(g(x))=f(\frac{1}{x}+7)=\frac{1}{x}+7+7=\frac{1}{x}+14\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry. My computer is messing up so I'm having a hard time seeing your responses. I'm not sure why open study isn't working properly for me, but it isn't...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0did you see the last one?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes! And thank you for your help! I really do appreciate it :3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for the next one it is a bit tricker

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[g(f(x))=g(x+7)=\frac{1}{x+7}+7\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can replace \(x\) by 10 in both of those for \[g(f(10))\] you will get \[\frac{1}{10+7}=7=\frac{1}{17}+7=7\tfrac{1}{17}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you mean to get the result for Which composite function has the greatest value for x=10?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry >.< late response again. But I believe I understand the material. ^w^

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You too! ^w^ Thanks for the help @satellite73 :3
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