Given F(x) shown below, complete the equation for the inverse of F(x). If necessary, use the slash mark (/) for the division symbol.

- anonymous

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- anonymous

\[F(x)=\frac{ 2x }{ 7+4 }\]

- anonymous

\[f ^{-1}(y)=\]

- anonymous

@Luigi0210 @Anickyan i really lost on this problem

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## More answers

- Luigi0210

Oh, fun one :)

- anonymous

\(y = \frac{2x}{7 + 4}\)
solve for \(x\)

- anonymous

x+2/11?

- anonymous

Nope.
\(2x\) means \(2 * x\)

- anonymous

so 2+x/11

- anonymous

is the^ right

- anonymous

No. Do you want me to keep on explaining or give you the answer?

- anonymous

@Anickyan

- anonymous

what very u think is best for me

- anonymous

I think explaining it the best thing. I can give you some easy tasks to do: http://www.sosmath.com/algebra/solve/solve0/solve0.html
They start easy, and get more and more difficult.

- anonymous

damn thats really hard

- anonymous

hey can u help

- anonymous

@Anickyan @Luigi0210

- Luigi0210

@Anickyan Already explained it..

- anonymous

i keep on getting 2+x/11

- anonymous

i give up its hard

- anonymous

@mathstudent55 can u check mt answer

- DebbieG

You have \(F(x)=\dfrac{ 2x }{ 7+4 }\) which is really just \(F(x)=\dfrac{ 2x }{ 11 }\)
Replace the F(x) with y:
\(y=\dfrac{ 2x }{ 11 }\)
Now solve it for x.

- DebbieG

You should NOT get getting \(y=2+\dfrac{ x }{ 11 }\)
In fact, you should be getting x={some stuff involving y|

- kropot72

The inverse of f(x) should be written as
\[f ^{-1} (x)\]

- kropot72

So the question is stated incorrectly.

- DebbieG

@kropot72 , I agree but we had a big thread about this yesterday, lol. @romanortiz65 's instructor apparently uses different notation.

- anonymous

x-2/11?

- DebbieG

@kropot72 this will explain it: http://openstudy.com/study#/updates/521b8fdbe4b06211a67d369e

- DebbieG

@romanortiz65 you have
\(y=\dfrac{ 2x }{ 11 }\)
And you need to solve for x. what is STEP 1. Tell the first thing you will do.

- anonymous

switch y and x

- DebbieG

That isn't how you "solve for x". You solve for x by isolating x, getting it all alone.

- anonymous

oh x+2/11

- DebbieG

Again, you should have x ALONE. and it should be = something. I'm not sure why you are giving responses that are not equations, and that don't isolate x.
x is not involved in any sums/differences, so it isn't likely that you need any sums/differences in the inverse.

- DebbieG

Look at the equation this way:
\(y=\dfrac{ 2x }{ 11 }\) is the same as \(y=x\cdot\dfrac{ 2 }{ 11 }\)
Now how do you solve that for x? How can you get that x= all alone on the RHS of the equation?

- DebbieG

HINT: IF \(t=r\cdot\dfrac{ 5 }{ 13 }\) THEN \(\dfrac{ 13 }{ 5 }\cdot t=r\)

- anonymous

-x -x both sides

- anonymous

@DebbieG

- anonymous

y=13/5?

- anonymous

@Luigi0210 check answer

- anonymous

@hba check anwer please

- Luigi0210

Where are your variables..?

- anonymous

can u just please just give me the answer im running super late for school please

- DebbieG

You have
\(y=x\cdot\dfrac{ 2 }{ 11 }\)
Read my hint above. You can multiply both sides by the reciprocal of 2/11:

- DebbieG

\(y=x\cdot\dfrac{ 2 }{ 11 }\)
\(\dfrac{ 11 }{ 2 }\cdot y=x\cdot\dfrac{ 2 }{ 11 }\cdot\dfrac{ 11 }{ 2 }\)
What do you get?

- DebbieG

@incognito, if you read above and follow the link to the prior question, you'll see the explanation about his instructor wanting the inverse as a function of y, not of x.

- anonymous

x x 22/22

- DebbieG

@romanortiz65 I don't even know what you mean by that.
where is your y??
Where is your = sign?

- anonymous

just give me final answer running late for my senior picture

- anonymous

please

- DebbieG

Oh, ok.... I think you mean that's the RHS?? I guess so. But not sure why you have an extra x.

- Luigi0210

Dude.. it's just one question. It's not like you're gonna die or fail if you don't answer it.

- DebbieG

I pretty much did. Just simplify that RHS above and you will have x=???

- anonymous

y=22/22

- Luigi0210

Well then..

- DebbieG

HOW does....
\(\dfrac{ 11 }{ 2 }\cdot y=x\cdot\dfrac{ 2 }{ 11 }\cdot\dfrac{ 11 }{ 2 }\)
Simplify to y=22/22???
1. Where did the fraction go from the LHS??
2. Where did the x go from the RHS??
3. 22/22 is not simplified. It can be made simpler!!
C'mon, man, you are psyching yourself out. You're so convinced that you can't do this that you aren't thinking it through.

- anonymous

11/11

- anonymous

1

- DebbieG

\[\dfrac{\cancel 2 }{ \cancel {11} }\cdot\dfrac{\cancel {11} }{\cancel 2 }=1\]

- anonymous

i got this one wrong ;( didnt pass my test

- anonymous

@DebbieG the ?s u helped me were wrongg

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