Question

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). (1 point)

y = Two divided by x squared. + 3

Answer 1

`f(x)=x+3`

`g(x)=(2)/(x^2)`

Explanation:

we are given

`y=(2)/(x^2)+3`

Since, we have to identify f(x) and g(x)

where g(x) is inner function

Let's assume

`g(x)=(2)/(x^2)`

so, we get

`y=g(x)+3`

we know that

y=f(g(x))

so, we can also write as

`f(g(x))=g(x)+3`

now, we can replace g(x) as x

we get

`f(x)=x+3`

so, we get

`f(x)=x+3`

`g(x)=(2)/(x^2)`