Question

I am not sure how to proceed with answering this question. Can you please help?

Answer 1

Given the function

`y=(2)/(x^2)+9`

since y=(f(g(x))

We need to find f(x) and g(x)

f(x) is

`f(x)=x+9`

then

g(x)

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

then

`y=f(g(x))=(2)/(x^2)+9`

We have

`y=(2)/(x^2)+9`

replace then

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

now we have

`y=X+9`

now we are give that

y=(f(g(x))

this means that for a function f(x) the value of x is replace with the function g(x)

then the only option to complete this statement is that

f(x)=X+9

but remember X=