There are many functions that could equal [tex]f(x)[/tex] and [tex]g(x)[/tex] to satisfy the equation [tex]y = \frac{8}{x^2} + 2[/tex]. Remember that we are going to take [tex]g(x)[/tex] and substitute it into [tex]f(x)[/tex].
For example, we could say [tex]g(x) = \frac{8}{x^2}[/tex] and [tex]f(x) = x + 2[/tex].
Another example would be [tex]g(x) = \frac{1}{x^2}[/tex] and [tex]f(x) = 8x + 2[/tex].
All it takes is some imagination and guess-and-check and you will be able to find some functions. A tip I recommend when finding these functions is to try and break apart the final equation into pieces. For example, rather than simply saying [tex]\frac{8}{x^2}[/tex], you could say [tex]8 \cdot \frac{1}{x^2}[/tex].
