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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

Ugh, I just got 0

Answer 7

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