Question

How do you find f(x) and g(x) of y=(2/x^2)+3

Answer 1

And how do you represent it as f(g(x))

Answer 2

I don't think that would work.

Answer 3

did you want to decompose y=(2/x^2) + 3 into two functions f and g so that f(g(x)) = (2/x^2) + 3 ???

Answer 4

Yes.

Answer 5

i'm pretty sure what i had earlier was correct... but since i erased it, what do you think it is???

Answer 6

I checked it, it wasn't correct.

Answer 7

ARen't there multiple possibilities?

Answer 8

yes... there are other ways...

Answer 9

Then why is it asking for a specific answer, is it?

Answer 10

Sorry, new to this.

Answer 11

here is another one:
f(x) = (2/x^2) + 3
g(x) = x

Answer 12

That seems extremely easy, won't it work for all of them, except instead of f(x) bing a specific number, it is the equation that is in need of solving?

Answer 13

being*

Answer 14

the point is, the decomposition is not unique....
idk why they ask for a specific decomposition... unless they stated some specifics.....

Answer 15

They just asked for f(x) and g(x). Sorry.

Answer 16

But thanks!

Answer 17

:D

Answer 18

i'll put my original answer down again (in case you missed it):
\(\large f(x)=\frac{2}{x}+3 \)

\(\large g(x)=x^2 \)

Answer 19

thanks for the medal... :)

Answer 20

No prblem

Answer 21

And once again, thanks a lot!

Answer 22

yw.. :)