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anonymous
 one year ago
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven divided by quantity x minus one.
anonymous
 one year ago
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = the quantity x minus seven divided by the quantity x plus three. and g(x) = quantity negative three x minus seven divided by quantity x minus one.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=\frac{ x7 }{ x+3 } g(x)=\frac{ 3x7 }{ x1 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0prepare to do a raft of algebra

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ah okay thank you for your help in advance btw :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=\frac{ x7 }{ x+3 } \] and \[g(x)=\frac{ 3x7 }{ x1 }\] right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this is amazingly easy for me to write the composition one way by using copy and paste i am going to past \(g(x)=\frac{ 3x7 }{ x1 }\)where every i see an \(x\) in \(f(x)=\frac{ x7 }{ x+3 }\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=\frac{ x7 }{ x+3 }\] \[f(g(x))=\frac{ \frac{ 3x7 }{ x1 }7 }{ \frac{ 3x7 }{ x1 }+3 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay i did that and now do i just solve?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now comes the raft of algebra part

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0which will end up with an orgy of cancellation since your answer should be \(x\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it is not really that bad multiply top and bottom of that complex fraction by \(x1\) to clear the denominator don't forget the distributive law

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay let me just do it real quick

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0would i do the same for the g(f(x)) = x. later on?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, just clear the denominators then all will go bye bye

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ah thank you so much!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait im so lost what happens with the 7 and 3?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0don't forget the distributive law !!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ \frac{ 3x7 }{ x1 }7 }{ \frac{ 3x7 }{ x1 }+3 }\times \frac{x1}{x1}\] \[=\frac{3x7(x1)}{3x7+3(x1)}\] is a start

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the distributive law in action denominators go, but you still have to distribute now distribute again, the 7 up top and the 3 below then combine like terms

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay at the denominator should i add the 7 and 3 before distrubuting or no?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0numerator should be \(10x+7\) if you do it correctly

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah that is right, and i lied, the numerator is \(3x77(x1)=3x77x+7=10x\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and of course \(\frac{10x}{10}=x\) as needed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ah okay thats easy in reality thanks! ill do the other side now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0good luck it is real similar

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i just am stuck a little after muliplying x+3/x+3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[g(x)=\frac{ 3x7 }{ x1 }\] \[g(f(x))=\frac{ 3\frac{ x7 }{ x+3 }7 }{ \frac{ x7 }{ x+3 }1 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah i did that already

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0multiply by \(x3\) what did you get in the numerator ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0typo i meant \(x+3\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay making sure ahha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.03(x7)7 is my numerator?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0before distributing etc you should be looking at \[3(x7)7(x+3)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0forgot that distributive law didn't you?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it is the distributive LAW, not the distributive option

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hahaha yes so my numerator is:(3x+21)7x21

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0numerator comes to 10x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0got it perfect! thanks!
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