Help, I'll fan and medal
Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = two divided by x squared + 9

Question

Help, I'll fan and medal
Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = two divided by x squared + 9

michele_laino · Answer

here is an example:
$$\begin{gathered}
  g\left( x \right) = {x^2} \hfill \
  f\left( x \right) = \frac{2}{{x + 9}} \hfill \ 
\end{gathered} $$

michele_laino · Answer

as we can see, we have:
$$\left( {g\left( x \right)} \right) = \frac{2}{{g\left( x \right) + 9}} = ...?$$
please complete

michele_laino · Answer

oops...
$$f\left( {g\left( x \right)} \right) = \frac{2}{{g\left( x \right) + 9}} = ...?$$

babtaooche · Answer

I tried but I didn't get an answer..

michele_laino · Answer

try to substitute $g(x)=x^2$, into my last formula above

babtaooche · Answer

Ugh, I just got 0

michele_laino · Answer

hint:
if I replace $g(x)$ with its value $x^2$, I get:
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