Algebra II Honors Homework Help

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Homework Help Overview

The problem involves finding the value of k in the function f(x) = k(-x^3 - 4x - 9), given that the inverse function f^-1(7) equals 1. The context is algebra, specifically focusing on functions and their inverses.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the function and its inverse, particularly how to interpret the condition f^-1(7) = 1. There are questions about the meaning of y in the context of finding the inverse and how to approach solving for k.

Discussion Status

Some participants have provided hints and guidance, suggesting that understanding the relationship between f(1) and f^-1(7) is crucial. There is a mix of responses, with some participants expressing confusion about the hints given and the rules of the forum.

Contextual Notes

There are mentions of forum rules regarding the submission format, specifically the use of templates instead of images for homework help. Additionally, there is a note about the size of images being a concern for moderators.

darshanpatel
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The inverse of f(x)= k(-x^3 -4x -9) is a function and f^-1(7)=1. What is the value of k?


Work is a picture: http://tinypic.com/view.php?pic=29xj4i8&s=5


Mod note: Too large picture deleted


Final Answer: k= (4y+10)/-7
 
Last edited by a moderator:
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darshanpatel said:
The inverse of f(x)= k(-x^3 -4x -9) is a function and f^-1(7)=1. What is the value of k?


Work is a picture: http://tinypic.com/view.php?pic=29xj4i8&s=5
...

Final Answer: k= (4y+10)/-7
Hello darshanpatel. Welcome to PF.

What is y ?? (Your answer makes no sense.)

Here's a hint: If [itex]\displaystyle f^{-1}(7)=1\,,[/itex] then what is [itex]\displaystyle f(1)\,?[/itex]

Note: When a moderator of these forums sees the size of that image, he/she will likely delete it.
 
The y is from exchanging the x and y's to get the inverse, also can you please help me and not hint lol.
 
darshanpatel said:
The y is from exchanging the x and y's to get the inverse, also can you please help me and not hint lol.

LOL indeed!

Read the rules of these Forums.

By the way: The hint I gave should lead you directly to the solution.
 
There is a template that should be used for homework. Next time, please fill it out instead uf uploading a picture.

Picture copied.
 

Attachments

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Evo said:
There is a template that should be used for homework. Next time, please fill it out instead uf uploading a picture.

Picture copied.
Thanks Evo !
 
SammyS said:
LOL indeed!

Read the rules of these Forums.

By the way: The hint I gave should lead you directly to the solution.

I don't understand the hint... Do I plug it directly in or something?

Evo said:
There is a template that should be used for homework. Next time, please fill it out instead uf uploading a picture.

Picture copied.

Also Another PF mod or something said it was ok...
 
darshanpatel said:
I don't understand the hint... Do I plug it directly in or something?

If [itex]\displaystyle f^{-1}(7) = 1\,, \ \ \text{ then }\ f(1) = 7 \,.[/itex] Understand ?
 
So I plug 1 into x variables and make whole equation = to 7?
 
  • #10
darshanpatel said:
So I plug 1 into x variables and make whole equation = to 7?
Yes. Then solve for k.
 
  • #11
Thank you, you are really smart. :)
 
  • #12
darshanpatel said:
Also Another PF mod or something said it was ok...
If it is much larger than 800 x 600 pixels, the moderators will likely delete it.
 
  • #13
ok, thanks...
 

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