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did you pick two functions?

once you have them we can do this easy

f(x)= x+7 and g(x)= 1/x+7 were the functions I thought to use for this.

\[f(x)=x+7,g(x)=\frac{1}{x+7}\] like that?

or was \(g(x)=\frac{1}{x}+7\) either way we can do it

you pick

the second one was how I meant to put the second function. sorry ^.^"

ok
brave to use a denominator but no problem
lets compute
\[f(g(x))\] first

always work from the inside out
\[f(g(x))=f(\frac{1}{x}+7)\] is a fist step

\[f(x)=x+7\] and \[g(x)= \frac{ 1}{ x } +7\] this is how they should look

yeah got it

that makes
\[f(g(x))=f(\frac{1}{x}+7)=\frac{1}{x}+7+7=\frac{1}{x}+14\]

yeah for me too

did you see the last one?

Yes! And thank you for your help! I really do appreciate it :3

for the next one it is a bit tricker

\[g(f(x))=g(x+7)=\frac{1}{x+7}+7\]

you mean to get the result for Which composite function has the greatest value for x=10?

right

Sorry >.< late response again. But I believe I understand the material. ^w^

ok good
stay cool

You too! ^w^ Thanks for the help @satellite73 :3