Algebra II Honors Homework Help

AI Thread Summary
The discussion revolves around finding the value of k in the function f(x) = k(-x^3 - 4x - 9) given that its inverse f^-1(7) equals 1. Participants emphasize that if f^-1(7) = 1, then f(1) must equal 7, leading to the equation that needs to be solved for k. There is a focus on proper formatting for homework submissions, with moderators advising against using large images and suggesting a template for clarity. The conversation highlights the importance of understanding the relationship between a function and its inverse. Overall, the key takeaway is the method to derive k from the given conditions.
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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
 
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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 \displaystyle f^{-1}(7)=1\,, then what is \displaystyle f(1)\,?

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.
 

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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 \displaystyle f^{-1}(7) = 1\,, \ \ \text{ then }\ f(1) = 7 \,. 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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