Respuesta :

Given the question

[tex]y=f(g(x)=\frac{2}{x^2}+9[/tex]

We are asked to find f(x) and g(x)

Explanation

To find f(x) and g(x) we must understand the f(g(x) is a compsition of f(x) and g(x). We will then break apart the given function,This can be seen below.

[tex]\begin{gathered} f(x)=x+9\text{ and g\lparen x\rparen=}\frac{2}{x^2} \\ \Rightarrow f(g(x)=\frac{2}{x^2}+9 \end{gathered}[/tex]

Answer:

[tex]f(x)=x+9\text{ }and\text{ }g(x)=\frac{2}{x^2}[/tex]

f()