Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point) y=(7)/(x^(2) ) +10

Question

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point)
`y=(7)/(x^(2) ) +10`

Answer 1

The functions are
`f(x) = 7\cdot x+10` and
`g(x) = (1)/(x^(2))`, respectively.

Explanation:

Let suppose that
`g(x) = (1)/(x^(2))`, then
`f(g(x))` is:

`f(g(x)) = 7\cdot \left((1)/(x^(2)) \right) + 10`

`f(g(x)) = 7\cdot g(x) + 10`

Thus,

`f(x) = 7\cdot x + 10`

The functions are
`f(x) = 7\cdot x+10` and
`g(x) = (1)/(x^(2))`, respectively.