Question

See uploaded file for a screenshot of the question. Thanks

Answer 1

Given the question

$y=f(g(x)=\frac{2}{x^2}+9$

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.

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

Answer:

$f(x)=x+9\text{ }and\text{ }g(x)=\frac{2}{x^2}$

f()