Question

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y=8/x^2+4

Answer 1

`f(x) = (8)/(x)+4` and
`g(x) = x^(2)`

Explanation:

Statement is not written correctly. Equation may confuse readers. The correct statement is:

Find
`f(x)` and
`g(x)` so the function can be expressed as
`y = f(g(x))`,
`y = (8)/(x^(2))+4`.

A composition of functions consists in substituting the independent variable of the first function (
`f(x)`) with the second function (
`g(x)`). In that sense, we can notice by direct inspection that:

`f(x) = (8)/(x)+4` and
`g(x) = x^(2)`